Greatest Common Factor of 1536/79, 3516/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1536/79, 3516/915

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 1536/79,3516/915

Given fractions are 1536/79,3516/915

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 1536,3516

Greatest Common Factor of Numerators i.e. GCF of 1536,3516 is 12 .

LCM of Denominators means LCM of 79,915 as per the given fractions.

LCM of 79,915 is 72285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1536,3516

GCF of Fractions 1536/79,3516/915 is 12/72285

2 1536, 3516
2 768, 1758
3 384, 879
128, 293

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1536,3516 By Matching Biggest Common Factor Method

Greatest Common Factor of 1536,3516 By Matching Biggest Common Factor Method

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1,2,3,4,6,12,293,586,879,1172,1758,3516

Greatest Common Factor

We found the factors 1536,3516 . The biggest common factor number is the GCF number.
So the greatest common factor 1536,3516 is 12.

Lets's calculate LCM of 79,915

Given numbers has no common factors except 1. So, there LCM is their product i.e 72285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/72285

Therefore, the GCF of Fractions 1536/79,3516/915 is 12/72285

Least Common Multiple of 79,915 with GCF Formula

Least Common Multiple of 79,915 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 79,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,915) = 1

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

GCF(79,915) x common factors =1 x 1 = 1

LCM(79,915) = ( 79 × 915 ) / 1

LCM(79,915) = 72285 / 1

LCM(79,915) = 72285


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 1536/79, 3516/915

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 1536/79, 3516/915?

Answer: GCF of Numerators as per given numbers 1536/79, 3516/915 is

GCF of Numerators i.e. for 1536,3516 is 12

LCM of denominators i.e. for 79,915 is 72285.

Thus, GCF of Fractions is 12/72285.Finally, GCF of Fractions for 1536/79, 3516/915 is 12/72285.