Greatest Common Factor of 7862/679, 1844/7220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7862/679, 1844/7220

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 7862/679,1844/7220

Given fractions are 7862/679,1844/7220

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 7862,1844

Greatest Common Factor of Numerators i.e. GCF of 7862,1844 is 2 .

LCM of Denominators means LCM of 679,7220 as per the given fractions.

LCM of 679,7220 is 4902380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7862,1844

GCF of Fractions 7862/679,1844/7220 is 2/4902380

2 7862, 1844
3931, 922

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

Greatest Common Factor of 7862,1844 By Matching Biggest Common Factor Method

Greatest Common Factor of 7862,1844 By Matching Biggest Common Factor Method

Factors of 7862

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

1,2,3931,7862

Factors of 1844

List of positive integer factors of 1844 that divides 1844 without a remainder.

1,2,4,461,922,1844

Greatest Common Factor

We found the factors 7862,1844 . The biggest common factor number is the GCF number.
So the greatest common factor 7862,1844 is 2.

Lets's calculate LCM of 679,7220

Given numbers has no common factors except 1. So, there LCM is their product i.e 4902380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4902380

Therefore, the GCF of Fractions 7862/679,1844/7220 is 2/4902380

Least Common Multiple of 679,7220 with GCF Formula

Least Common Multiple of 679,7220 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 679,7220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,7220) = 1

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

GCF(679,7220) x common factors =1 x 1 = 1

LCM(679,7220) = ( 679 × 7220 ) / 1

LCM(679,7220) = 4902380 / 1

LCM(679,7220) = 4902380


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 7862/679, 1844/7220

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 7862/679, 1844/7220?

Answer: GCF of Numerators as per given numbers 7862/679, 1844/7220 is

GCF of Numerators i.e. for 7862,1844 is 2

LCM of denominators i.e. for 679,7220 is 4902380.

Thus, GCF of Fractions is 2/4902380.Finally, GCF of Fractions for 7862/679, 1844/7220 is 2/4902380.