Greatest Common Factor of 53/82, 16/39, 979/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/82, 16/39, 979/976

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 53/82,16/39,979/976

Given fractions are 53/82,16/39,979/976

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 53,16,979

Greatest Common Factor of Numerators i.e. GCF of 53,16,979 is 1 .

LCM of Denominators means LCM of 82,39,976 as per the given fractions.

LCM of 82,39,976 is 1560624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,16,979

GCF of Fractions 53/82,16/39,979/976 is 1/1560624

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

Greatest Common Factor of 53,16,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,16,979 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 53,16,979 . The biggest common factor number is the GCF number.
So the greatest common factor 53,16,979 is 1.

Lets's calculate LCM of 82,39,976

2 82, 39, 976
41, 39, 488

∴ So the LCM of the given numbers is 2 x 41 x 39 x 488 = 1560624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1560624

Therefore, the GCF of Fractions 53/82,16/39,979/976 is 1/1560624

Least Common Multiple of 82,39,976 with GCF Formula

Least Common Multiple of 82,39,976 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 82,39,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,39,976) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,39,976) x common factors =1 x 2 = 2

LCM(82,39,976) = ( 82 × 39 × 976 ) / 2

LCM(82,39,976) = 3121248 / 2

LCM(82,39,976) = 1560624


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 53/82, 16/39, 979/976

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 53/82, 16/39, 979/976?

Answer: GCF of Numerators as per given numbers 53/82, 16/39, 979/976 is

GCF of Numerators i.e. for 53,16,979 is 1

LCM of denominators i.e. for 82,39,976 is 1560624.

Thus, GCF of Fractions is 1/1560624.Finally, GCF of Fractions for 53/82, 16/39, 979/976 is 1/1560624.