Greatest Common Factor of 4311/495, 9013/6456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4311/495, 9013/6456

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 4311/495,9013/6456

Given fractions are 4311/495,9013/6456

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 4311,9013

Greatest Common Factor of Numerators i.e. GCF of 4311,9013 is 1 .

LCM of Denominators means LCM of 495,6456 as per the given fractions.

LCM of 495,6456 is 1065240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4311,9013

GCF of Fractions 4311/495,9013/6456 is 1/1065240

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

Greatest Common Factor of 4311,9013 By Matching Biggest Common Factor Method

Greatest Common Factor of 4311,9013 By Matching Biggest Common Factor Method

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1,3,9,479,1437,4311

Factors of 9013

List of positive integer factors of 9013 that divides 9013 without a remainder.

1,9013

Greatest Common Factor

We found the factors 4311,9013 . The biggest common factor number is the GCF number.
So the greatest common factor 4311,9013 is 1.

Lets's calculate LCM of 495,6456

3 495, 6456
165, 2152

∴ So the LCM of the given numbers is 3 x 165 x 2152 = 1065240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1065240

Therefore, the GCF of Fractions 4311/495,9013/6456 is 1/1065240

Least Common Multiple of 495,6456 with GCF Formula

Least Common Multiple of 495,6456 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 495,6456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,6456) = 3

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

GCF(495,6456) x common factors =3 x 1 = 3

LCM(495,6456) = ( 495 × 6456 ) / 3

LCM(495,6456) = 3195720 / 3

LCM(495,6456) = 1065240


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 4311/495, 9013/6456

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 4311/495, 9013/6456?

Answer: GCF of Numerators as per given numbers 4311/495, 9013/6456 is

GCF of Numerators i.e. for 4311,9013 is 1

LCM of denominators i.e. for 495,6456 is 1065240.

Thus, GCF of Fractions is 1/1065240.Finally, GCF of Fractions for 4311/495, 9013/6456 is 1/1065240.