Greatest Common Factor of 8460/891, 5076/6995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8460/891, 5076/6995

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 8460/891,5076/6995

Given fractions are 8460/891,5076/6995

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 8460,5076

Greatest Common Factor of Numerators i.e. GCF of 8460,5076 is 1692 .

LCM of Denominators means LCM of 891,6995 as per the given fractions.

LCM of 891,6995 is 6232545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8460,5076

GCF of Fractions 8460/891,5076/6995 is 1692/6232545

2 8460, 5076
2 4230, 2538
3 2115, 1269
3 705, 423
47 235, 141
5, 3

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 47 = 1692

Greatest Common Factor of 8460,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 8460,5076 By Matching Biggest Common Factor Method

Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,47,60,90,94,141,180,188,235,282,423,470,564,705,846,940,1410,1692,2115,2820,4230,8460

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 8460,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 8460,5076 is 1692.

Lets's calculate LCM of 891,6995

Given numbers has no common factors except 1. So, there LCM is their product i.e 6232545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1692/6232545

Therefore, the GCF of Fractions 8460/891,5076/6995 is 1692/6232545

Least Common Multiple of 891,6995 with GCF Formula

Least Common Multiple of 891,6995 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 891,6995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,6995) = 1

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

GCF(891,6995) x common factors =1 x 1 = 1

LCM(891,6995) = ( 891 × 6995 ) / 1

LCM(891,6995) = 6232545 / 1

LCM(891,6995) = 6232545


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 8460/891, 5076/6995

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 8460/891, 5076/6995?

Answer: GCF of Numerators as per given numbers 8460/891, 5076/6995 is

GCF of Numerators i.e. for 8460,5076 is 1692

LCM of denominators i.e. for 891,6995 is 6232545.

Thus, GCF of Fractions is 1692/6232545.Finally, GCF of Fractions for 8460/891, 5076/6995 is 1692/6232545.