Steps to solve H.C.F. and L.C.M. of decimals:
Step I: Convert each of the decimals to like decimals.
Step II: Remove the decimal point and find the highest common factor and least common multiple as usual.
Step III: In the answer (highest common factor /least common multiple), put the decimal point as there are a number of decimal places in the like decimals.
Now we will follow the step-by-step explanation on how to calculate the highest common factor and the least common multiple of decimals.
Worked-out examples on H.C.F. and L.C.M. of decimals:
1. Find the H.C.F. and the L.C.M. of 1.20 and 22.5
Solution:
Given, 1.20 and 22.5
Converting each of the following decimals into like decimals we get;
1.20 and 22.50
Now, expressing each of the numbers without the decimals as the product of primes we get
120 = 2 × 2 × 2 × 3 × 5 = 2^{3} × 3 × 5
2. Find the H.C.F. and the L.C.M. of 0.48, 0.72 and 0.108
Solution:
Given, 0.48, 0.72 and 0.108
Converting each of the following decimals into like decimals we get;
0.480, 0.720 and 0.108
Now, expressing each of the numbers without the decimals as the product of primes we get
480 = 2 × 2 × 2 × 2 × 2 × 3 × 5 = 2^{5} × 3 × 53. Find the H.C.F. and the L.C.M. of 0.6, 1.5, 0.18 and 3.6
Solution:
Given, 0.6, 1.5, 0.18 and 3.6
Converting each of the following decimals into like decimals we get;
0.60, 1.50, 0.18 and 3.60
Now, expressing each of the numbers without the decimals as the product of primes we get
60 = 2 × 2 × 3 × 5 = 2^{2} × 3 × 5● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules - Involving Decimals
● PEMDAS Rules - Involving Integers
● PEMDAS Rules - Involving Decimals
● BODMAS Rules - Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● Simplify Decimals Involving Addition and Subtraction Decimals
● Multiplying Decimal by a Decimal Number
● Multiplying Decimal by a Whole Number
● Dividing Decimal by a Whole Number
● Dividing Decimal by a Decimal Number
7th Grade Math Problems
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