Greatest Common Factor of 539/957, 196/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/957, 196/986

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 539/957,196/986

Given fractions are 539/957,196/986

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 539,196

Greatest Common Factor of Numerators i.e. GCF of 539,196 is 49 .

LCM of Denominators means LCM of 957,986 as per the given fractions.

LCM of 957,986 is 32538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,196

GCF of Fractions 539/957,196/986 is 49/32538

7 539, 196
7 77, 28
11, 4

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 539,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,196 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 539,196 . The biggest common factor number is the GCF number.
So the greatest common factor 539,196 is 49.

Lets's calculate LCM of 957,986

29 957, 986
33, 34

∴ So the LCM of the given numbers is 29 x 33 x 34 = 32538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/32538

Therefore, the GCF of Fractions 539/957,196/986 is 49/32538

Least Common Multiple of 957,986 with GCF Formula

Least Common Multiple of 957,986 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 957,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,986) = 29

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

GCF(957,986) x common factors =29 x 1 = 29

LCM(957,986) = ( 957 × 986 ) / 29

LCM(957,986) = 943602 / 29

LCM(957,986) = 32538


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 539/957, 196/986

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 539/957, 196/986?

Answer: GCF of Numerators as per given numbers 539/957, 196/986 is

GCF of Numerators i.e. for 539,196 is 49

LCM of denominators i.e. for 957,986 is 32538.

Thus, GCF of Fractions is 49/32538.Finally, GCF of Fractions for 539/957, 196/986 is 49/32538.