Greatest Common Factor of 781/256, 902/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 781/256, 902/425

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 781/256,902/425

Given fractions are 781/256,902/425

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 781,902

Greatest Common Factor of Numerators i.e. GCF of 781,902 is 11 .

LCM of Denominators means LCM of 256,425 as per the given fractions.

LCM of 256,425 is 108800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 781,902

GCF of Fractions 781/256,902/425 is 11/108800

11 781, 902
71, 82

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 781,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,902 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 781,902 . The biggest common factor number is the GCF number.
So the greatest common factor 781,902 is 11.

Lets's calculate LCM of 256,425

Given numbers has no common factors except 1. So, there LCM is their product i.e 108800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/108800

Therefore, the GCF of Fractions 781/256,902/425 is 11/108800

Least Common Multiple of 256,425 with GCF Formula

Least Common Multiple of 256,425 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 256,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,425) = 1

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

GCF(256,425) x common factors =1 x 1 = 1

LCM(256,425) = ( 256 × 425 ) / 1

LCM(256,425) = 108800 / 1

LCM(256,425) = 108800


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 781/256, 902/425

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 781/256, 902/425?

Answer: GCF of Numerators as per given numbers 781/256, 902/425 is

GCF of Numerators i.e. for 781,902 is 11

LCM of denominators i.e. for 256,425 is 108800.

Thus, GCF of Fractions is 11/108800.Finally, GCF of Fractions for 781/256, 902/425 is 11/108800.