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GCF of 988/73, 524/906

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 988/73, 524/906 i.e 4/66138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/73, 524/906.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 988/73,524/906?

Given fractions are 988/73,524/906

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 988/73,524/906, numerators are 988,524

Denominators are 73,906

The GCF of 988,524 is 4 .

LCM of 73,906 is 66138.

The greatest common factor of 988/73,524/906 = [GCF of 988,524]/[LCM of 73,906]= 4/66138

Therefore, the GCF of 988/73,524/906 is 4/66138.

Greatest Common Factor of 988,524

To find the highest common factor of 988,524, we have to find the factors of both numbers and list the highest common factor.

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The factors of 524 are 1, 2, 4, 131, 262, 524

The HCF of 988,524 is 4.

Lets's calculate GCF of 988,524

Greatest Common Factor (GCF) of 988,524 By Common Division

2 988, 524
2 494, 262
247, 131

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 988,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,524 By Matching Biggest Common Factor Method

Now, list down the factors of 988

:

1,2,4,13,19,26,38,52,76,247,494,988

Now, list down the factors of 524

:

1,2,4,131,262,524

Greatest Common Factor

We found the factors 988,524 . The biggest common factor number is the GCF number.
So the greatest common factor 988,524 is 4.

Lets's calculate LCM of 73,906

Lowest Common Multiple of 73,906 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 66138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66138

Therefore, the GCF of Fractions 988/73,524/906 is 4/66138

Least Common Multiple of 73,906 with GCF Formula

Least Common Multiple of 73,906 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,906) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,906) x common factors =1 x 1 = 1

LCM(73,906) = ( 73 × 906 ) / 1

LCM(73,906) = 66138 / 1

LCM(73,906) = 66138


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FAQs on GCF of Fractions of 988/73, 524/906

1. What is the HCF of 988,524?

The HCF of 988,524 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 988/73, 524/906?

Answer: GCF of Numerators as per given numbers 988/73, 524/906 is

GCF of Numerators i.e. for 988,524 is 4

LCM of denominators i.e. for 73,906 is 66138.

Thus, GCF of Fractions is 4/66138.Finally, GCF of Fractions for 988/73, 524/906 is 4/66138.