Greatest Common Factor of 8725/934, 5235/5656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8725/934, 5235/5656

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 8725/934,5235/5656

Given fractions are 8725/934,5235/5656

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 8725,5235

Greatest Common Factor of Numerators i.e. GCF of 8725,5235 is 1745 .

LCM of Denominators means LCM of 934,5656 as per the given fractions.

LCM of 934,5656 is 2641352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8725,5235

GCF of Fractions 8725/934,5235/5656 is 1745/2641352

5 8725, 5235
349 1745, 1047
5, 3

∴ So the GCF of the given numbers is 5 x 349 = 1745

Greatest Common Factor of 8725,5235 By Matching Biggest Common Factor Method

Greatest Common Factor of 8725,5235 By Matching Biggest Common Factor Method

Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1,5,25,349,1745,8725

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1,3,5,15,349,1047,1745,5235

Greatest Common Factor

We found the factors 8725,5235 . The biggest common factor number is the GCF number.
So the greatest common factor 8725,5235 is 1745.

Lets's calculate LCM of 934,5656

2 934, 5656
467, 2828

∴ So the LCM of the given numbers is 2 x 467 x 2828 = 2641352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1745/2641352

Therefore, the GCF of Fractions 8725/934,5235/5656 is 1745/2641352

Least Common Multiple of 934,5656 with GCF Formula

Least Common Multiple of 934,5656 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 934,5656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,5656) = 2

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

GCF(934,5656) x common factors =2 x 1 = 2

LCM(934,5656) = ( 934 × 5656 ) / 2

LCM(934,5656) = 5282704 / 2

LCM(934,5656) = 2641352


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 8725/934, 5235/5656

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 8725/934, 5235/5656?

Answer: GCF of Numerators as per given numbers 8725/934, 5235/5656 is

GCF of Numerators i.e. for 8725,5235 is 1745

LCM of denominators i.e. for 934,5656 is 2641352.

Thus, GCF of Fractions is 1745/2641352.Finally, GCF of Fractions for 8725/934, 5235/5656 is 1745/2641352.