Greatest Common Factor

Greatest common factor is the greatest number which is a common factor of two or more number.


There is no difference between highest common factor (H.C.F) or greatest common divisor (G.C.D) or greatest common factor (G.C.F).


1. Find the greatest common divisor (G.C.D) of 70, 210 and 315?

Solution:

Factors of 70 = 1, 2, 5, 7, 10, 14, 35, and 70.

Factors of 210 =1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.

Factors of 315 =1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, and 315. Therefore, common factor of 70, 210 and 315 = 1,5, 7 and 35.

Greatest common divisor (G.C.D) of 70, 210 and 315= 35.



2. Find the greatest common divisor (G.C.D) of 60, 90 and 150?

Solution:

Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90.

Factors of 150 = 1,2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and 150.

Therefore, common factor of 60, 90 and 150 = 1, 2, 3,5, 6,10, 15 and 30.

Greatest common divisor (G.C.D) of 60, 90 and 150 = 30.

3. What is the highest common factor (H.C.F) of 56 and 91?

Solution:

Factors of 56 = 1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 91 = 1, 7, 13, and 91.

Therefore, common factor of 56 and 91 = 1and 7.

Highest common factor (H.C.F) of 56 and 91 = 7.



4. What is the greatest common factor (G.C.F) of 24 and 66?

Solution:

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

Factors of 66 =1, 2, 3, 6, 11, 22, 33 and 66.

Therefore, common factor of 24 and 66 = 1, 2, 3 and 6.

Greatest common factor (G.C.F) of 24 and 66 = 6.



5.What is the highest common factor (H.C.F) of 51 and 111?

Solution:

Factors of 51 = 1, 3, 17 and 51.

Factors of 111 =1, 3, 37, and 111.

Therefore, common factor of 51 and 111 = 1and 3.

Highest common factor (H.C.F) of 51 and 111 = 3.



6.What is the greatest common factor (G.C.F) of 11 and17?

Solution:

Factors of 11 = 1 and 11.

Factors of 17 =1 and 17.

Therefore, common factor of 11 and 17 = 1.

Greatest common factor (G.C.F)of11 and 17 = 1.



● Factors.

 Common Factors.

 Prime Factor.

● Repeated Prime Factors.

● Highest Common Factor (H.C.F).

● Examples on Highest Common Factor (H.C.F).

 Greatest Common Factor (G.C.F).

 Examples of Greatest Common Factor (G.C.F).

 Prime Factorisation.

 To find Highest Common Factor by using Prime Factorization Method.

 Examples to find Highest Common Factor by using Prime Factorization Method.

 To find Highest Common Factor by using Division Method.

 Examples to find Highest Common Factor of two numbers by using Division Method.

 To find the Highest Common Factor of three numbers by using Division Method.










5th Grade Math Problems 

5th Grade Numbers Page 

From Greatest Common Factor to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Conversion of Rupees and Paise | How to convert rupees into paise?

    Feb 12, 25 02:45 AM

    Conversion of Rupees and Paise
    We will discuss about the conversion of rupees and paise (i.e. from rupees into paise and from paise into rupees). How to convert rupees into paise? First we need to remove the point and then remove

    Read More

  2. Writing Money in Words and Figure Worksheet With Answers | All Grades

    Feb 12, 25 02:30 AM

    In writing money in words and figure worksheet we will get different types of questions on expressing money in words and figures, write the amount in short form (in figures) and write the amount in lo…

    Read More

  3. Writing Money in Words and Figure | Rules for Writing Money in Words

    Feb 12, 25 01:59 AM

    Rules for writing money in words and figure: 1. Abbreviation used for a rupee is Re. and for 1-rupee it is Re. 1 2. Rupees is written in short, as Rs., as 5-rupees is written as Rs. 5

    Read More

  4. Worksheet on Money | Conversion of Money from Rupees to Paisa

    Feb 11, 25 09:39 AM

    Amounts in Figures
    Practice the questions given in the worksheet on money. This sheet provides different types of questions where students need to express the amount of money in short form and long form

    Read More

  5. Worksheet on Measurement | Problems on Measurement | Homework |Answers

    Feb 10, 25 11:56 PM

    Measurement Worksheet
    In worksheet on measurement we will solve different types of questions on measurement of length, conversion of length, addition and subtraction of length, word problems on addition of length, word pro…

    Read More