Greatest Common Factor of 2810/520, 7862/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2810/520, 7862/164

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 2810/520,7862/164

Given fractions are 2810/520,7862/164

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 2810,7862

Greatest Common Factor of Numerators i.e. GCF of 2810,7862 is 2 .

LCM of Denominators means LCM of 520,164 as per the given fractions.

LCM of 520,164 is 21320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2810,7862

GCF of Fractions 2810/520,7862/164 is 2/21320

2 2810, 7862
1405, 3931

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2810,7862 By Matching Biggest Common Factor Method

Greatest Common Factor of 2810,7862 By Matching Biggest Common Factor Method

Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1,2,5,10,281,562,1405,2810

Factors of 7862

List of positive integer factors of 7862 that divides 7862 without a remainder.

1,2,3931,7862

Greatest Common Factor

We found the factors 2810,7862 . The biggest common factor number is the GCF number.
So the greatest common factor 2810,7862 is 2.

Lets's calculate LCM of 520,164

2 520, 164
2 260, 82
130, 41

∴ So the LCM of the given numbers is 2 x 2 x 130 x 41 = 21320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21320

Therefore, the GCF of Fractions 2810/520,7862/164 is 2/21320

Least Common Multiple of 520,164 with GCF Formula

Least Common Multiple of 520,164 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 520,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,164) = 4

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

GCF(520,164) x common factors =4 x 1 = 4

LCM(520,164) = ( 520 × 164 ) / 4

LCM(520,164) = 85280 / 4

LCM(520,164) = 21320


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 2810/520, 7862/164

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 2810/520, 7862/164?

Answer: GCF of Numerators as per given numbers 2810/520, 7862/164 is

GCF of Numerators i.e. for 2810,7862 is 2

LCM of denominators i.e. for 520,164 is 21320.

Thus, GCF of Fractions is 2/21320.Finally, GCF of Fractions for 2810/520, 7862/164 is 2/21320.