Greatest Common Factor of 5952/904, 2512/9025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5952/904, 2512/9025

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 5952/904,2512/9025

Given fractions are 5952/904,2512/9025

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 5952,2512

Greatest Common Factor of Numerators i.e. GCF of 5952,2512 is 16 .

LCM of Denominators means LCM of 904,9025 as per the given fractions.

LCM of 904,9025 is 8158600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5952,2512

GCF of Fractions 5952/904,2512/9025 is 16/8158600

2 5952, 2512
2 2976, 1256
2 1488, 628
2 744, 314
372, 157

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 5952,2512 By Matching Biggest Common Factor Method

Greatest Common Factor of 5952,2512 By Matching Biggest Common Factor Method

Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1,2,4,8,16,157,314,628,1256,2512

Greatest Common Factor

We found the factors 5952,2512 . The biggest common factor number is the GCF number.
So the greatest common factor 5952,2512 is 16.

Lets's calculate LCM of 904,9025

Given numbers has no common factors except 1. So, there LCM is their product i.e 8158600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/8158600

Therefore, the GCF of Fractions 5952/904,2512/9025 is 16/8158600

Least Common Multiple of 904,9025 with GCF Formula

Least Common Multiple of 904,9025 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 904,9025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,9025) = 1

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

GCF(904,9025) x common factors =1 x 1 = 1

LCM(904,9025) = ( 904 × 9025 ) / 1

LCM(904,9025) = 8158600 / 1

LCM(904,9025) = 8158600


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 5952/904, 2512/9025

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 5952/904, 2512/9025?

Answer: GCF of Numerators as per given numbers 5952/904, 2512/9025 is

GCF of Numerators i.e. for 5952,2512 is 16

LCM of denominators i.e. for 904,9025 is 8158600.

Thus, GCF of Fractions is 16/8158600.Finally, GCF of Fractions for 5952/904, 2512/9025 is 16/8158600.