Greatest Common Factor of 8352/762, 5409/1508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8352/762, 5409/1508

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 8352/762,5409/1508

Given fractions are 8352/762,5409/1508

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 8352,5409

Greatest Common Factor of Numerators i.e. GCF of 8352,5409 is 9 .

LCM of Denominators means LCM of 762,1508 as per the given fractions.

LCM of 762,1508 is 574548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8352,5409

GCF of Fractions 8352/762,5409/1508 is 9/574548

3 8352, 5409
3 2784, 1803
928, 601

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8352,5409 By Matching Biggest Common Factor Method

Greatest Common Factor of 8352,5409 By Matching Biggest Common Factor Method

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352

Factors of 5409

List of positive integer factors of 5409 that divides 5409 without a remainder.

1,3,9,601,1803,5409

Greatest Common Factor

We found the factors 8352,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 8352,5409 is 9.

Lets's calculate LCM of 762,1508

2 762, 1508
381, 754

∴ So the LCM of the given numbers is 2 x 381 x 754 = 574548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/574548

Therefore, the GCF of Fractions 8352/762,5409/1508 is 9/574548

Least Common Multiple of 762,1508 with GCF Formula

Least Common Multiple of 762,1508 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 762,1508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,1508) = 2

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

GCF(762,1508) x common factors =2 x 1 = 2

LCM(762,1508) = ( 762 × 1508 ) / 2

LCM(762,1508) = 1149096 / 2

LCM(762,1508) = 574548


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 8352/762, 5409/1508

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 8352/762, 5409/1508?

Answer: GCF of Numerators as per given numbers 8352/762, 5409/1508 is

GCF of Numerators i.e. for 8352,5409 is 9

LCM of denominators i.e. for 762,1508 is 574548.

Thus, GCF of Fractions is 9/574548.Finally, GCF of Fractions for 8352/762, 5409/1508 is 9/574548.