Greatest Common Factor of 372/25, 757/29, 847/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 372/25, 757/29, 847/980

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 372/25,757/29,847/980

Given fractions are 372/25,757/29,847/980

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 372,757,847

Greatest Common Factor of Numerators i.e. GCF of 372,757,847 is 1 .

LCM of Denominators means LCM of 25,29,980 as per the given fractions.

LCM of 25,29,980 is 142100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 372,757,847

GCF of Fractions 372/25,757/29,847/980 is 1/142100

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 372,757,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,757,847 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 372,757,847 . The biggest common factor number is the GCF number.
So the greatest common factor 372,757,847 is 1.

Lets's calculate LCM of 25,29,980

5 25, 29, 980
5, 29, 196

∴ So the LCM of the given numbers is 5 x 5 x 29 x 196 = 142100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142100

Therefore, the GCF of Fractions 372/25,757/29,847/980 is 1/142100

Least Common Multiple of 25,29,980 with GCF Formula

Least Common Multiple of 25,29,980 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 25,29,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,29,980) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,29,980) x common factors =1 x 5 = 5

LCM(25,29,980) = ( 25 × 29 × 980 ) / 5

LCM(25,29,980) = 710500 / 5

LCM(25,29,980) = 142100


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 372/25, 757/29, 847/980

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 372/25, 757/29, 847/980?

Answer: GCF of Numerators as per given numbers 372/25, 757/29, 847/980 is

GCF of Numerators i.e. for 372,757,847 is 1

LCM of denominators i.e. for 25,29,980 is 142100.

Thus, GCF of Fractions is 1/142100.Finally, GCF of Fractions for 372/25, 757/29, 847/980 is 1/142100.