Greatest Common Factor of 940/7240, 987/7448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 940/7240, 987/7448

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 940/7240,987/7448

Given fractions are 940/7240,987/7448

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 940,987

Greatest Common Factor of Numerators i.e. GCF of 940,987 is 47 .

LCM of Denominators means LCM of 7240,7448 as per the given fractions.

LCM of 7240,7448 is 6740440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,987

GCF of Fractions 940/7240,987/7448 is 47/6740440

47 940, 987
20, 21

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 940,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,987 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 940,987 . The biggest common factor number is the GCF number.
So the greatest common factor 940,987 is 47.

Lets's calculate LCM of 7240,7448

2 7240, 7448
2 3620, 3724
2 1810, 1862
905, 931

∴ So the LCM of the given numbers is 2 x 2 x 2 x 905 x 931 = 6740440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/6740440

Therefore, the GCF of Fractions 940/7240,987/7448 is 47/6740440

Least Common Multiple of 7240,7448 with GCF Formula

Least Common Multiple of 7240,7448 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 7240,7448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7240,7448) = 8

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

GCF(7240,7448) x common factors =8 x 1 = 8

LCM(7240,7448) = ( 7240 × 7448 ) / 8

LCM(7240,7448) = 53923520 / 8

LCM(7240,7448) = 6740440


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 940/7240, 987/7448

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 940/7240, 987/7448?

Answer: GCF of Numerators as per given numbers 940/7240, 987/7448 is

GCF of Numerators i.e. for 940,987 is 47

LCM of denominators i.e. for 7240,7448 is 6740440.

Thus, GCF of Fractions is 47/6740440.Finally, GCF of Fractions for 940/7240, 987/7448 is 47/6740440.