Greatest Common Factor of 7859/891, 3828/1231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7859/891, 3828/1231

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 7859/891,3828/1231

Given fractions are 7859/891,3828/1231

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 7859,3828

Greatest Common Factor of Numerators i.e. GCF of 7859,3828 is 29 .

LCM of Denominators means LCM of 891,1231 as per the given fractions.

LCM of 891,1231 is 1096821 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7859,3828

GCF of Fractions 7859/891,3828/1231 is 29/1096821

29 7859, 3828
271, 132

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 7859,3828 By Matching Biggest Common Factor Method

Greatest Common Factor of 7859,3828 By Matching Biggest Common Factor Method

Factors of 7859

List of positive integer factors of 7859 that divides 7859 without a remainder.

1,29,271,7859

Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828

Greatest Common Factor

We found the factors 7859,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 7859,3828 is 29.

Lets's calculate LCM of 891,1231

Given numbers has no common factors except 1. So, there LCM is their product i.e 1096821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1096821

Therefore, the GCF of Fractions 7859/891,3828/1231 is 29/1096821

Least Common Multiple of 891,1231 with GCF Formula

Least Common Multiple of 891,1231 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 891,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,1231) = 1

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

GCF(891,1231) x common factors =1 x 1 = 1

LCM(891,1231) = ( 891 × 1231 ) / 1

LCM(891,1231) = 1096821 / 1

LCM(891,1231) = 1096821


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 7859/891, 3828/1231

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 7859/891, 3828/1231?

Answer: GCF of Numerators as per given numbers 7859/891, 3828/1231 is

GCF of Numerators i.e. for 7859,3828 is 29

LCM of denominators i.e. for 891,1231 is 1096821.

Thus, GCF of Fractions is 29/1096821.Finally, GCF of Fractions for 7859/891, 3828/1231 is 29/1096821.