Greatest Common Factor of 913/264, 749/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/264, 749/189

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 913/264,749/189

Given fractions are 913/264,749/189

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 913,749

Greatest Common Factor of Numerators i.e. GCF of 913,749 is 1 .

LCM of Denominators means LCM of 264,189 as per the given fractions.

LCM of 264,189 is 16632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,749

GCF of Fractions 913/264,749/189 is 1/16632

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

Greatest Common Factor of 913,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,749 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 913,749 . The biggest common factor number is the GCF number.
So the greatest common factor 913,749 is 1.

Lets's calculate LCM of 264,189

3 264, 189
88, 63

∴ So the LCM of the given numbers is 3 x 88 x 63 = 16632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16632

Therefore, the GCF of Fractions 913/264,749/189 is 1/16632

Least Common Multiple of 264,189 with GCF Formula

Least Common Multiple of 264,189 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 264,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,189) = 3

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

GCF(264,189) x common factors =3 x 1 = 3

LCM(264,189) = ( 264 × 189 ) / 3

LCM(264,189) = 49896 / 3

LCM(264,189) = 16632


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 913/264, 749/189

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 913/264, 749/189?

Answer: GCF of Numerators as per given numbers 913/264, 749/189 is

GCF of Numerators i.e. for 913,749 is 1

LCM of denominators i.e. for 264,189 is 16632.

Thus, GCF of Fractions is 1/16632.Finally, GCF of Fractions for 913/264, 749/189 is 1/16632.