Greatest Common Factor of 940/78, 7320/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 940/78, 7320/740

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 940/78,7320/740

Given fractions are 940/78,7320/740

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 940,7320

Greatest Common Factor of Numerators i.e. GCF of 940,7320 is 20 .

LCM of Denominators means LCM of 78,740 as per the given fractions.

LCM of 78,740 is 28860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 940,7320

GCF of Fractions 940/78,7320/740 is 20/28860

2 940, 7320
2 470, 3660
5 235, 1830
47, 366

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 940,7320 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,7320 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 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Greatest Common Factor

We found the factors 940,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 940,7320 is 20.

Lets's calculate LCM of 78,740

2 78, 740
39, 370

∴ So the LCM of the given numbers is 2 x 39 x 370 = 28860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/28860

Therefore, the GCF of Fractions 940/78,7320/740 is 20/28860

Least Common Multiple of 78,740 with GCF Formula

Least Common Multiple of 78,740 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 78,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,740) = 2

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

GCF(78,740) x common factors =2 x 1 = 2

LCM(78,740) = ( 78 × 740 ) / 2

LCM(78,740) = 57720 / 2

LCM(78,740) = 28860


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 940/78, 7320/740

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 940/78, 7320/740?

Answer: GCF of Numerators as per given numbers 940/78, 7320/740 is

GCF of Numerators i.e. for 940,7320 is 20

LCM of denominators i.e. for 78,740 is 28860.

Thus, GCF of Fractions is 20/28860.Finally, GCF of Fractions for 940/78, 7320/740 is 20/28860.