Greatest Common Factor of 6506/937, 7496/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6506/937, 7496/930

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 6506/937,7496/930

Given fractions are 6506/937,7496/930

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 6506,7496

Greatest Common Factor of Numerators i.e. GCF of 6506,7496 is 2 .

LCM of Denominators means LCM of 937,930 as per the given fractions.

LCM of 937,930 is 871410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6506,7496

GCF of Fractions 6506/937,7496/930 is 2/871410

2 6506, 7496
3253, 3748

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

Greatest Common Factor of 6506,7496 By Matching Biggest Common Factor Method

Greatest Common Factor of 6506,7496 By Matching Biggest Common Factor Method

Factors of 6506

List of positive integer factors of 6506 that divides 6506 without a remainder.

1,2,3253,6506

Factors of 7496

List of positive integer factors of 7496 that divides 7496 without a remainder.

1,2,4,8,937,1874,3748,7496

Greatest Common Factor

We found the factors 6506,7496 . The biggest common factor number is the GCF number.
So the greatest common factor 6506,7496 is 2.

Lets's calculate LCM of 937,930

Given numbers has no common factors except 1. So, there LCM is their product i.e 871410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/871410

Therefore, the GCF of Fractions 6506/937,7496/930 is 2/871410

Least Common Multiple of 937,930 with GCF Formula

Least Common Multiple of 937,930 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 937,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,930) = 1

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

GCF(937,930) x common factors =1 x 1 = 1

LCM(937,930) = ( 937 × 930 ) / 1

LCM(937,930) = 871410 / 1

LCM(937,930) = 871410


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 6506/937, 7496/930

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 6506/937, 7496/930?

Answer: GCF of Numerators as per given numbers 6506/937, 7496/930 is

GCF of Numerators i.e. for 6506,7496 is 2

LCM of denominators i.e. for 937,930 is 871410.

Thus, GCF of Fractions is 2/871410.Finally, GCF of Fractions for 6506/937, 7496/930 is 2/871410.