Greatest Common Factor of 1527/116, 9414/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1527/116, 9414/264

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 1527/116,9414/264

Given fractions are 1527/116,9414/264

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 1527,9414

Greatest Common Factor of Numerators i.e. GCF of 1527,9414 is 3 .

LCM of Denominators means LCM of 116,264 as per the given fractions.

LCM of 116,264 is 7656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1527,9414

GCF of Fractions 1527/116,9414/264 is 3/7656

3 1527, 9414
509, 3138

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1527,9414 By Matching Biggest Common Factor Method

Greatest Common Factor of 1527,9414 By Matching Biggest Common Factor Method

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1,3,509,1527

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1,2,3,6,9,18,523,1046,1569,3138,4707,9414

Greatest Common Factor

We found the factors 1527,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 1527,9414 is 3.

Lets's calculate LCM of 116,264

2 116, 264
2 58, 132
29, 66

∴ So the LCM of the given numbers is 2 x 2 x 29 x 66 = 7656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7656

Therefore, the GCF of Fractions 1527/116,9414/264 is 3/7656

Least Common Multiple of 116,264 with GCF Formula

Least Common Multiple of 116,264 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 116,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,264) = 4

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

GCF(116,264) x common factors =4 x 1 = 4

LCM(116,264) = ( 116 × 264 ) / 4

LCM(116,264) = 30624 / 4

LCM(116,264) = 7656


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 1527/116, 9414/264

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 1527/116, 9414/264?

Answer: GCF of Numerators as per given numbers 1527/116, 9414/264 is

GCF of Numerators i.e. for 1527,9414 is 3

LCM of denominators i.e. for 116,264 is 7656.

Thus, GCF of Fractions is 3/7656.Finally, GCF of Fractions for 1527/116, 9414/264 is 3/7656.