Greatest Common Factor of 991/101, 340/489, 979/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/101, 340/489, 979/987

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 991/101,340/489,979/987

Given fractions are 991/101,340/489,979/987

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 991,340,979

Greatest Common Factor of Numerators i.e. GCF of 991,340,979 is 1 .

LCM of Denominators means LCM of 101,489,987 as per the given fractions.

LCM of 101,489,987 is 16248981 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,340,979

GCF of Fractions 991/101,340/489,979/987 is 1/16248981

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

Greatest Common Factor of 991,340,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,340,979 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 991,340,979 . The biggest common factor number is the GCF number.
So the greatest common factor 991,340,979 is 1.

Lets's calculate LCM of 101,489,987

3 101, 489, 987
101, 163, 329

∴ So the LCM of the given numbers is 3 x 101 x 163 x 329 = 16248981

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16248981

Therefore, the GCF of Fractions 991/101,340/489,979/987 is 1/16248981

Least Common Multiple of 101,489,987 with GCF Formula

Least Common Multiple of 101,489,987 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 101,489,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,489,987) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(101,489,987) x common factors =1 x 3 = 3

LCM(101,489,987) = ( 101 × 489 × 987 ) / 3

LCM(101,489,987) = 48746943 / 3

LCM(101,489,987) = 16248981


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 991/101, 340/489, 979/987

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 991/101, 340/489, 979/987?

Answer: GCF of Numerators as per given numbers 991/101, 340/489, 979/987 is

GCF of Numerators i.e. for 991,340,979 is 1

LCM of denominators i.e. for 101,489,987 is 16248981.

Thus, GCF of Fractions is 1/16248981.Finally, GCF of Fractions for 991/101, 340/489, 979/987 is 1/16248981.