Greatest Common Factor of 8980/282, 6990/5164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8980/282, 6990/5164

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 8980/282,6990/5164

Given fractions are 8980/282,6990/5164

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 8980,6990

Greatest Common Factor of Numerators i.e. GCF of 8980,6990 is 10 .

LCM of Denominators means LCM of 282,5164 as per the given fractions.

LCM of 282,5164 is 728124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8980,6990

GCF of Fractions 8980/282,6990/5164 is 10/728124

2 8980, 6990
5 4490, 3495
898, 699

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8980,6990 By Matching Biggest Common Factor Method

Greatest Common Factor of 8980,6990 By Matching Biggest Common Factor Method

Factors of 8980

List of positive integer factors of 8980 that divides 8980 without a remainder.

1,2,4,5,10,20,449,898,1796,2245,4490,8980

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990

Greatest Common Factor

We found the factors 8980,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 8980,6990 is 10.

Lets's calculate LCM of 282,5164

2 282, 5164
141, 2582

∴ So the LCM of the given numbers is 2 x 141 x 2582 = 728124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/728124

Therefore, the GCF of Fractions 8980/282,6990/5164 is 10/728124

Least Common Multiple of 282,5164 with GCF Formula

Least Common Multiple of 282,5164 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 282,5164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,5164) = 2

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

GCF(282,5164) x common factors =2 x 1 = 2

LCM(282,5164) = ( 282 × 5164 ) / 2

LCM(282,5164) = 1456248 / 2

LCM(282,5164) = 728124


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 8980/282, 6990/5164

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 8980/282, 6990/5164?

Answer: GCF of Numerators as per given numbers 8980/282, 6990/5164 is

GCF of Numerators i.e. for 8980,6990 is 10

LCM of denominators i.e. for 282,5164 is 728124.

Thus, GCF of Fractions is 10/728124.Finally, GCF of Fractions for 8980/282, 6990/5164 is 10/728124.