Greatest Common Factor of 5222/790, 8988/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5222/790, 8988/881

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 5222/790,8988/881

Given fractions are 5222/790,8988/881

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 5222,8988

Greatest Common Factor of Numerators i.e. GCF of 5222,8988 is 14 .

LCM of Denominators means LCM of 790,881 as per the given fractions.

LCM of 790,881 is 695990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5222,8988

GCF of Fractions 5222/790,8988/881 is 14/695990

2 5222, 8988
7 2611, 4494
373, 642

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 5222,8988 By Matching Biggest Common Factor Method

Greatest Common Factor of 5222,8988 By Matching Biggest Common Factor Method

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1,2,7,14,373,746,2611,5222

Factors of 8988

List of positive integer factors of 8988 that divides 8988 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,107,214,321,428,642,749,1284,1498,2247,2996,4494,8988

Greatest Common Factor

We found the factors 5222,8988 . The biggest common factor number is the GCF number.
So the greatest common factor 5222,8988 is 14.

Lets's calculate LCM of 790,881

Given numbers has no common factors except 1. So, there LCM is their product i.e 695990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/695990

Therefore, the GCF of Fractions 5222/790,8988/881 is 14/695990

Least Common Multiple of 790,881 with GCF Formula

Least Common Multiple of 790,881 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 790,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,881) = 1

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

GCF(790,881) x common factors =1 x 1 = 1

LCM(790,881) = ( 790 × 881 ) / 1

LCM(790,881) = 695990 / 1

LCM(790,881) = 695990


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 5222/790, 8988/881

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 5222/790, 8988/881?

Answer: GCF of Numerators as per given numbers 5222/790, 8988/881 is

GCF of Numerators i.e. for 5222,8988 is 14

LCM of denominators i.e. for 790,881 is 695990.

Thus, GCF of Fractions is 14/695990.Finally, GCF of Fractions for 5222/790, 8988/881 is 14/695990.