Greatest Common Factor of 8920/994, 5397/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8920/994, 5397/710

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 8920/994,5397/710

Given fractions are 8920/994,5397/710

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 8920,5397

Greatest Common Factor of Numerators i.e. GCF of 8920,5397 is 1 .

LCM of Denominators means LCM of 994,710 as per the given fractions.

LCM of 994,710 is 4970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8920,5397

GCF of Fractions 8920/994,5397/710 is 1/4970

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

Greatest Common Factor of 8920,5397 By Matching Biggest Common Factor Method

Greatest Common Factor of 8920,5397 By Matching Biggest Common Factor Method

Factors of 8920

List of positive integer factors of 8920 that divides 8920 without a remainder.

1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920

Factors of 5397

List of positive integer factors of 5397 that divides 5397 without a remainder.

1,3,7,21,257,771,1799,5397

Greatest Common Factor

We found the factors 8920,5397 . The biggest common factor number is the GCF number.
So the greatest common factor 8920,5397 is 1.

Lets's calculate LCM of 994,710

2 994, 710
71 497, 355
7, 5

∴ So the LCM of the given numbers is 2 x 71 x 7 x 5 = 4970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4970

Therefore, the GCF of Fractions 8920/994,5397/710 is 1/4970

Least Common Multiple of 994,710 with GCF Formula

Least Common Multiple of 994,710 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 994,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,710) = 142

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

GCF(994,710) x common factors =142 x 1 = 142

LCM(994,710) = ( 994 × 710 ) / 142

LCM(994,710) = 705740 / 142

LCM(994,710) = 4970


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 8920/994, 5397/710

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 8920/994, 5397/710?

Answer: GCF of Numerators as per given numbers 8920/994, 5397/710 is

GCF of Numerators i.e. for 8920,5397 is 1

LCM of denominators i.e. for 994,710 is 4970.

Thus, GCF of Fractions is 1/4970.Finally, GCF of Fractions for 8920/994, 5397/710 is 1/4970.