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To Find the Highest Common Factor of Three Numbers by using Division Method
To find the highest common factor of three numbers by using division method is discussed here step by step.
Step I:
First of all find the highest common factor (H.C.F) of any two of the given numbers.
Step II:
Now find the highest common factor (H.C.F) of the third given number and the highest common factor (H.C.F) obtained in Step 1 from first and the second number.
Let us consider some examples to find the highest common factor (H.C.F) of three numbers by division method.
1. Find highest common factor (H.C.F) of 184, 230 and 276 by using division method.
Solution:
Let us find the highest common factor (H.C.F) of 184 and 230.
Highest common factor of 184 and 230 = 46.
Now find the H.C.F. of 276 and 46.
Highest common factor of 276 and 46 = 46.
Therefore, required highest common factor (H.C.F) of 184, 230 and 276 = 46.
2. Find highest common factor (H.C.F) of 136, 170 and 255 by using division method.
Solution:
Let us find the highest common factor (H.C.F) of 136 and 170.
Highest common factor of 136 and 170 = 34.
Now find the H.C.F. of 34 and 255.
Highest common factor of 34 and 255 = 17.
Therefore, required highest common factor (H.C.F) of 136, 170 and 255 = 17.
3. Using long division method, find H.C.F of 891, 1215 and 1377.
Solution:
Therefore, highest common factor of 891 and 1215 is 81 and now we shall find H.C.F of 81 and 1377.
Therefore, H.C.F. of 891, 1215 and 1377 is 81.
4. Find the HCF of 216, 468 and 828 by division method.
Solution:
Step 1: We will first find HCF of 216 and 828
Step 2: Now find HCF of 36 and 468.
Hence, HCF of 216, 468 and 828 is 36.
5. Find the largest number by which one can divide 371, 618 and 865 leaving remainders 2, 3 and 4 respectively.
Solution:
When 371 is divided by the number, a remainder of 2 is left.
Thus, 371 - 2 = 369 is divisible by that number.
Similarly, when 618 is divided by the number, a remainder of 3 is left.
Thus, 618 - 3 = 615 is divisible by that number.
When 865 is divided by that number, a remainder of 4 is left.
Thus, 865 - 4 = 861 is divisible by that number.
Hence, the required number is the HCF of 369, 615 and 861.
HCF of 369 and 615 is 123.
HCF of 123 and 861 is 123.
Hence, the required number is 123.
● 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).
● 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.
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