Greatest Common Factor of 764/154, 5298/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 764/154, 5298/891

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 764/154,5298/891

Given fractions are 764/154,5298/891

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 764,5298

Greatest Common Factor of Numerators i.e. GCF of 764,5298 is 2 .

LCM of Denominators means LCM of 154,891 as per the given fractions.

LCM of 154,891 is 12474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 764,5298

GCF of Fractions 764/154,5298/891 is 2/12474

2 764, 5298
382, 2649

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 764,5298 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,5298 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 5298

List of positive integer factors of 5298 that divides 5298 without a remainder.

1,2,3,6,883,1766,2649,5298

Greatest Common Factor

We found the factors 764,5298 . The biggest common factor number is the GCF number.
So the greatest common factor 764,5298 is 2.

Lets's calculate LCM of 154,891

11 154, 891
14, 81

∴ So the LCM of the given numbers is 11 x 14 x 81 = 12474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12474

Therefore, the GCF of Fractions 764/154,5298/891 is 2/12474

Least Common Multiple of 154,891 with GCF Formula

Least Common Multiple of 154,891 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 154,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,891) = 11

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

GCF(154,891) x common factors =11 x 1 = 11

LCM(154,891) = ( 154 × 891 ) / 11

LCM(154,891) = 137214 / 11

LCM(154,891) = 12474


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 764/154, 5298/891

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 764/154, 5298/891?

Answer: GCF of Numerators as per given numbers 764/154, 5298/891 is

GCF of Numerators i.e. for 764,5298 is 2

LCM of denominators i.e. for 154,891 is 12474.

Thus, GCF of Fractions is 2/12474.Finally, GCF of Fractions for 764/154, 5298/891 is 2/12474.