How to Find GCF of 988/397, 532/817?

GCF of 988/397, 532/817

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 988/397, 532/817 i.e 76/324349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/397, 532/817.

Enter two or more fractions separated by "commas"

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

What is the GCF of 988/397,532/817?

Given fractions are 988/397,532/817

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 988/397,532/817, numerators are 988,532

Denominators are 397,817

The GCF of 988,532 is 76 .

LCM of 397,817 is 324349.

The greatest common factor of 988/397,532/817 = [GCF of 988,532]/[LCM of 397,817]= 76/324349

Therefore, the GCF of 988/397,532/817 is 76/324349.

Greatest Common Factor of 988,532

To find the highest common factor of 988,532, 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 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The HCF of 988,532 is 76.

Lets's calculate GCF of 988,532

Greatest Common Factor (GCF) of 988,532 By Common Division

2	988, 532
2	494, 266
19	247, 133
	13, 7

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Greatest Common Factor of 988,532 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 532

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 988,532 . The biggest common factor number is the GCF number.
So the greatest common factor 988,532 is 76.

Lets's calculate LCM of 397,817

Lowest Common Multiple of 397,817 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 324349

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/324349

Therefore, the GCF of Fractions 988/397,532/817 is 76/324349

Least Common Multiple of 397,817 with GCF Formula

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

We need to calculate greatest common factor of 397,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,817) = 1

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

GCF(397,817) x common factors =1 x 1 = 1

LCM(397,817) = ( 397 × 817 ) / 1

LCM(397,817) = 324349 / 1

LCM(397,817) = 324349

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FAQs on GCF of Fractions of 988/397, 532/817

1. What is the HCF of 988,532?

The HCF of 988,532 is 76

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 988/397, 532/817?

Answer: GCF of Numerators as per given numbers 988/397, 532/817 is

GCF of Numerators i.e. for 988,532 is 76

LCM of denominators i.e. for 397,817 is 324349.

Thus, GCF of Fractions is 76/324349.Finally, GCF of Fractions for 988/397, 532/817 is 76/324349.