Greatest Common Factor of 568/61, 198/39, 752/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/61, 198/39, 752/969

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 568/61,198/39,752/969

Given fractions are 568/61,198/39,752/969

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 568,198,752

Greatest Common Factor of Numerators i.e. GCF of 568,198,752 is 2 .

LCM of Denominators means LCM of 61,39,969 as per the given fractions.

LCM of 61,39,969 is 768417 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,198,752

GCF of Fractions 568/61,198/39,752/969 is 2/768417

2 568, 198, 752
284, 99, 376

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 568,198,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,198,752 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 568,198,752 . The biggest common factor number is the GCF number.
So the greatest common factor 568,198,752 is 2.

Lets's calculate LCM of 61,39,969

3 61, 39, 969
61, 13, 323

∴ So the LCM of the given numbers is 3 x 61 x 13 x 323 = 768417

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/768417

Therefore, the GCF of Fractions 568/61,198/39,752/969 is 2/768417

Least Common Multiple of 61,39,969 with GCF Formula

Least Common Multiple of 61,39,969 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 61,39,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,39,969) = 1

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

GCF(61,39,969) x common factors =1 x 3 = 3

LCM(61,39,969) = ( 61 × 39 × 969 ) / 3

LCM(61,39,969) = 2305251 / 3

LCM(61,39,969) = 768417


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 568/61, 198/39, 752/969

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 568/61, 198/39, 752/969?

Answer: GCF of Numerators as per given numbers 568/61, 198/39, 752/969 is

GCF of Numerators i.e. for 568,198,752 is 2

LCM of denominators i.e. for 61,39,969 is 768417.

Thus, GCF of Fractions is 2/768417.Finally, GCF of Fractions for 568/61, 198/39, 752/969 is 2/768417.