Greatest Common Factor of 9938/796, 1960/3260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9938/796, 1960/3260

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 9938/796,1960/3260

Given fractions are 9938/796,1960/3260

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 9938,1960

Greatest Common Factor of Numerators i.e. GCF of 9938,1960 is 2 .

LCM of Denominators means LCM of 796,3260 as per the given fractions.

LCM of 796,3260 is 648740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9938,1960

GCF of Fractions 9938/796,1960/3260 is 2/648740

2 9938, 1960
4969, 980

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

Greatest Common Factor of 9938,1960 By Matching Biggest Common Factor Method

Greatest Common Factor of 9938,1960 By Matching Biggest Common Factor Method

Factors of 9938

List of positive integer factors of 9938 that divides 9938 without a remainder.

1,2,4969,9938

Factors of 1960

List of positive integer factors of 1960 that divides 1960 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960

Greatest Common Factor

We found the factors 9938,1960 . The biggest common factor number is the GCF number.
So the greatest common factor 9938,1960 is 2.

Lets's calculate LCM of 796,3260

2 796, 3260
2 398, 1630
199, 815

∴ So the LCM of the given numbers is 2 x 2 x 199 x 815 = 648740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/648740

Therefore, the GCF of Fractions 9938/796,1960/3260 is 2/648740

Least Common Multiple of 796,3260 with GCF Formula

Least Common Multiple of 796,3260 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 796,3260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,3260) = 4

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

GCF(796,3260) x common factors =4 x 1 = 4

LCM(796,3260) = ( 796 × 3260 ) / 4

LCM(796,3260) = 2594960 / 4

LCM(796,3260) = 648740


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9938/796, 1960/3260

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 9938/796, 1960/3260?

Answer: GCF of Numerators as per given numbers 9938/796, 1960/3260 is

GCF of Numerators i.e. for 9938,1960 is 2

LCM of denominators i.e. for 796,3260 is 648740.

Thus, GCF of Fractions is 2/648740.Finally, GCF of Fractions for 9938/796, 1960/3260 is 2/648740.