Greatest Common Factor of 781/25, 871/3089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 781/25, 871/3089

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 781/25,871/3089

Given fractions are 781/25,871/3089

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 781,871

Greatest Common Factor of Numerators i.e. GCF of 781,871 is 1 .

LCM of Denominators means LCM of 25,3089 as per the given fractions.

LCM of 25,3089 is 77225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 781,871

GCF of Fractions 781/25,871/3089 is 1/77225

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

Greatest Common Factor of 781,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,871 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 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 781,871 . The biggest common factor number is the GCF number.
So the greatest common factor 781,871 is 1.

Lets's calculate LCM of 25,3089

Given numbers has no common factors except 1. So, there LCM is their product i.e 77225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77225

Therefore, the GCF of Fractions 781/25,871/3089 is 1/77225

Least Common Multiple of 25,3089 with GCF Formula

Least Common Multiple of 25,3089 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 25,3089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,3089) = 1

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

GCF(25,3089) x common factors =1 x 1 = 1

LCM(25,3089) = ( 25 × 3089 ) / 1

LCM(25,3089) = 77225 / 1

LCM(25,3089) = 77225


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 781/25, 871/3089

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 781/25, 871/3089?

Answer: GCF of Numerators as per given numbers 781/25, 871/3089 is

GCF of Numerators i.e. for 781,871 is 1

LCM of denominators i.e. for 25,3089 is 77225.

Thus, GCF of Fractions is 1/77225.Finally, GCF of Fractions for 781/25, 871/3089 is 1/77225.