Greatest Common Factor of 520/982, 9897/1964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 520/982, 9897/1964

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 520/982,9897/1964

Given fractions are 520/982,9897/1964

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 520,9897

Greatest Common Factor of Numerators i.e. GCF of 520,9897 is 1 .

LCM of Denominators means LCM of 982,1964 as per the given fractions.

LCM of 982,1964 is 1964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 520,9897

GCF of Fractions 520/982,9897/1964 is 1/1964

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 520,9897 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,9897 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1,3,3299,9897

Greatest Common Factor

We found the factors 520,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 520,9897 is 1.


Lets's calculate LCM of 982,1964

2 982, 1964
491 491, 982
1, 2

∴ So the LCM of the given numbers is 2 x 491 x 1 x 2 = 1964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1964

Therefore, the GCF of Fractions 520/982,9897/1964 is 1/1964

Least Common Multiple of 982,1964 with GCF Formula

Least Common Multiple of 982,1964 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 982,1964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,1964) = 982

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

GCF(982,1964) x common factors =982 x 1 = 982

LCM(982,1964) = ( 982 × 1964 ) / 982

LCM(982,1964) = 1928648 / 982

LCM(982,1964) = 1964


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 520/982, 9897/1964

1. 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.

2. What is the GCF of Fractions for 520/982, 9897/1964?

Answer: GCF of Numerators as per given numbers 520/982, 9897/1964 is

GCF of Numerators i.e. for 520,9897 is 1

LCM of denominators i.e. for 982,1964 is 1964.

Thus, GCF of Fractions is 1/1964.Finally, GCF of Fractions for 520/982, 9897/1964 is 1/1964.