Greatest Common Factor of 2974/721, 9912/6500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2974/721, 9912/6500

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 2974/721,9912/6500

Given fractions are 2974/721,9912/6500

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 2974,9912

Greatest Common Factor of Numerators i.e. GCF of 2974,9912 is 2 .

LCM of Denominators means LCM of 721,6500 as per the given fractions.

LCM of 721,6500 is 4686500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2974,9912

GCF of Fractions 2974/721,9912/6500 is 2/4686500

2 2974, 9912
1487, 4956

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

Greatest Common Factor of 2974,9912 By Matching Biggest Common Factor Method

Greatest Common Factor of 2974,9912 By Matching Biggest Common Factor Method

Factors of 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1,2,1487,2974

Factors of 9912

List of positive integer factors of 9912 that divides 9912 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912

Greatest Common Factor

We found the factors 2974,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 2974,9912 is 2.

Lets's calculate LCM of 721,6500

Given numbers has no common factors except 1. So, there LCM is their product i.e 4686500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4686500

Therefore, the GCF of Fractions 2974/721,9912/6500 is 2/4686500

Least Common Multiple of 721,6500 with GCF Formula

Least Common Multiple of 721,6500 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 721,6500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,6500) = 1

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

GCF(721,6500) x common factors =1 x 1 = 1

LCM(721,6500) = ( 721 × 6500 ) / 1

LCM(721,6500) = 4686500 / 1

LCM(721,6500) = 4686500


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 2974/721, 9912/6500

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 2974/721, 9912/6500?

Answer: GCF of Numerators as per given numbers 2974/721, 9912/6500 is

GCF of Numerators i.e. for 2974,9912 is 2

LCM of denominators i.e. for 721,6500 is 4686500.

Thus, GCF of Fractions is 2/4686500.Finally, GCF of Fractions for 2974/721, 9912/6500 is 2/4686500.