Greatest Common Factor of 9256/450, 8432/3215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9256/450, 8432/3215

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 9256/450,8432/3215

Given fractions are 9256/450,8432/3215

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 9256,8432

Greatest Common Factor of Numerators i.e. GCF of 9256,8432 is 8 .

LCM of Denominators means LCM of 450,3215 as per the given fractions.

LCM of 450,3215 is 289350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9256,8432

GCF of Fractions 9256/450,8432/3215 is 8/289350

2 9256, 8432
2 4628, 4216
2 2314, 2108
1157, 1054

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9256,8432 By Matching Biggest Common Factor Method

Greatest Common Factor of 9256,8432 By Matching Biggest Common Factor Method

Factors of 9256

List of positive integer factors of 9256 that divides 9256 without a remainder.

1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256

Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432

Greatest Common Factor

We found the factors 9256,8432 . The biggest common factor number is the GCF number.
So the greatest common factor 9256,8432 is 8.

Lets's calculate LCM of 450,3215

5 450, 3215
90, 643

∴ So the LCM of the given numbers is 5 x 90 x 643 = 289350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/289350

Therefore, the GCF of Fractions 9256/450,8432/3215 is 8/289350

Least Common Multiple of 450,3215 with GCF Formula

Least Common Multiple of 450,3215 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 450,3215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,3215) = 5

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

GCF(450,3215) x common factors =5 x 1 = 5

LCM(450,3215) = ( 450 × 3215 ) / 5

LCM(450,3215) = 1446750 / 5

LCM(450,3215) = 289350


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 9256/450, 8432/3215

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 9256/450, 8432/3215?

Answer: GCF of Numerators as per given numbers 9256/450, 8432/3215 is

GCF of Numerators i.e. for 9256,8432 is 8

LCM of denominators i.e. for 450,3215 is 289350.

Thus, GCF of Fractions is 8/289350.Finally, GCF of Fractions for 9256/450, 8432/3215 is 8/289350.