Greatest Common Factor of 3091/754, 9879/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3091/754, 9879/891

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 3091/754,9879/891

Given fractions are 3091/754,9879/891

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 3091,9879

Greatest Common Factor of Numerators i.e. GCF of 3091,9879 is 1 .

LCM of Denominators means LCM of 754,891 as per the given fractions.

LCM of 754,891 is 671814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3091,9879

GCF of Fractions 3091/754,9879/891 is 1/671814

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3091,9879 By Matching Biggest Common Factor Method

Greatest Common Factor of 3091,9879 By Matching Biggest Common Factor Method

Factors of 3091

List of positive integer factors of 3091 that divides 3091 without a remainder.

1,11,281,3091

Factors of 9879

List of positive integer factors of 9879 that divides 9879 without a remainder.

1,3,37,89,111,267,3293,9879

Greatest Common Factor

We found the factors 3091,9879 . The biggest common factor number is the GCF number.
So the greatest common factor 3091,9879 is 1.

Lets's calculate LCM of 754,891

Given numbers has no common factors except 1. So, there LCM is their product i.e 671814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/671814

Therefore, the GCF of Fractions 3091/754,9879/891 is 1/671814

Least Common Multiple of 754,891 with GCF Formula

Least Common Multiple of 754,891 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 754,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,891) = 1

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

GCF(754,891) x common factors =1 x 1 = 1

LCM(754,891) = ( 754 × 891 ) / 1

LCM(754,891) = 671814 / 1

LCM(754,891) = 671814


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 3091/754, 9879/891

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 3091/754, 9879/891?

Answer: GCF of Numerators as per given numbers 3091/754, 9879/891 is

GCF of Numerators i.e. for 3091,9879 is 1

LCM of denominators i.e. for 754,891 is 671814.

Thus, GCF of Fractions is 1/671814.Finally, GCF of Fractions for 3091/754, 9879/891 is 1/671814.