Greatest Common Factor of 572/65, 835/51, 268/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/65, 835/51, 268/422

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 572/65,835/51,268/422

Given fractions are 572/65,835/51,268/422

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 572,835,268

Greatest Common Factor of Numerators i.e. GCF of 572,835,268 is 1 .

LCM of Denominators means LCM of 65,51,422 as per the given fractions.

LCM of 65,51,422 is 1398930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,835,268

GCF of Fractions 572/65,835/51,268/422 is 1/1398930

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

Greatest Common Factor of 572,835,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,835,268 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 572,835,268 . The biggest common factor number is the GCF number.
So the greatest common factor 572,835,268 is 1.

Lets's calculate LCM of 65,51,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 1398930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1398930

Therefore, the GCF of Fractions 572/65,835/51,268/422 is 1/1398930

Least Common Multiple of 65,51,422 with GCF Formula

Least Common Multiple of 65,51,422 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 65,51,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,51,422) = 1

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

GCF(65,51,422) x common factors =1 x 1 = 1

LCM(65,51,422) = ( 65 × 51 × 422 ) / 1

LCM(65,51,422) = 1398930 / 1

LCM(65,51,422) = 1398930


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 572/65, 835/51, 268/422

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 572/65, 835/51, 268/422?

Answer: GCF of Numerators as per given numbers 572/65, 835/51, 268/422 is

GCF of Numerators i.e. for 572,835,268 is 1

LCM of denominators i.e. for 65,51,422 is 1398930.

Thus, GCF of Fractions is 1/1398930.Finally, GCF of Fractions for 572/65, 835/51, 268/422 is 1/1398930.