Greatest Common Factor of 857/52, 5734/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 857/52, 5734/512

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 857/52,5734/512

Given fractions are 857/52,5734/512

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 857,5734

Greatest Common Factor of Numerators i.e. GCF of 857,5734 is 1 .

LCM of Denominators means LCM of 52,512 as per the given fractions.

LCM of 52,512 is 6656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 857,5734

GCF of Fractions 857/52,5734/512 is 1/6656

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

Greatest Common Factor of 857,5734 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,5734 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 5734

List of positive integer factors of 5734 that divides 5734 without a remainder.

1,2,47,61,94,122,2867,5734

Greatest Common Factor

We found the factors 857,5734 . The biggest common factor number is the GCF number.
So the greatest common factor 857,5734 is 1.

Lets's calculate LCM of 52,512

2 52, 512
2 26, 256
13, 128

∴ So the LCM of the given numbers is 2 x 2 x 13 x 128 = 6656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6656

Therefore, the GCF of Fractions 857/52,5734/512 is 1/6656

Least Common Multiple of 52,512 with GCF Formula

Least Common Multiple of 52,512 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 52,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,512) = 4

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

GCF(52,512) x common factors =4 x 1 = 4

LCM(52,512) = ( 52 × 512 ) / 4

LCM(52,512) = 26624 / 4

LCM(52,512) = 6656


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 857/52, 5734/512

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 857/52, 5734/512?

Answer: GCF of Numerators as per given numbers 857/52, 5734/512 is

GCF of Numerators i.e. for 857,5734 is 1

LCM of denominators i.e. for 52,512 is 6656.

Thus, GCF of Fractions is 1/6656.Finally, GCF of Fractions for 857/52, 5734/512 is 1/6656.