Find the highest common factor of the numbers 0.045 and 0.075.
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Answer:
0.15
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SOLUTION:-
➡️In the given two numbers 0.045 and 0.075, we find equal number of digits after the decimal point. That is, three digits.
To get rid of the decimal point, we have to multiply each number by 1000.
0.045 × 1000 = 45
0.075 × 1000 = 75
➡️Find the greatest common factor 45 and 75 using prime factorization method.
Write the prime factors of 45 and 75 as shown below.
45 = 3 × 3 × 5
75 = 3 × 5 × 5
➡️The prime factors that are common to 45 and 75 are
3 and 5
➡️Product of common prime factors :
= 3 × 5
= 15
➡️HCF (45, 75) = 15.
Divide the HCF 15 by 1000.
15 / 1000 = 0.015
➡️So, the greatest common factor of 0.045 and 0.075 is
0.015
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