Greatest Common Factor of 754/871, 2522/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/871, 2522/645

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 754/871,2522/645

Given fractions are 754/871,2522/645

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 754,2522

Greatest Common Factor of Numerators i.e. GCF of 754,2522 is 26 .

LCM of Denominators means LCM of 871,645 as per the given fractions.

LCM of 871,645 is 561795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,2522

GCF of Fractions 754/871,2522/645 is 26/561795

2 754, 2522
13 377, 1261
29, 97

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 754,2522 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,2522 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 2522

List of positive integer factors of 2522 that divides 2522 without a remainder.

1,2,13,26,97,194,1261,2522

Greatest Common Factor

We found the factors 754,2522 . The biggest common factor number is the GCF number.
So the greatest common factor 754,2522 is 26.

Lets's calculate LCM of 871,645

Given numbers has no common factors except 1. So, there LCM is their product i.e 561795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/561795

Therefore, the GCF of Fractions 754/871,2522/645 is 26/561795

Least Common Multiple of 871,645 with GCF Formula

Least Common Multiple of 871,645 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 871,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,645) = 1

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

GCF(871,645) x common factors =1 x 1 = 1

LCM(871,645) = ( 871 × 645 ) / 1

LCM(871,645) = 561795 / 1

LCM(871,645) = 561795


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 754/871, 2522/645

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 754/871, 2522/645?

Answer: GCF of Numerators as per given numbers 754/871, 2522/645 is

GCF of Numerators i.e. for 754,2522 is 26

LCM of denominators i.e. for 871,645 is 561795.

Thus, GCF of Fractions is 26/561795.Finally, GCF of Fractions for 754/871, 2522/645 is 26/561795.