Greatest Common Factor of 96/465, 156/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/465, 156/259

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 96/465,156/259

Given fractions are 96/465,156/259

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 96,156

Greatest Common Factor of Numerators i.e. GCF of 96,156 is 12 .

LCM of Denominators means LCM of 465,259 as per the given fractions.

LCM of 465,259 is 120435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,156

GCF of Fractions 96/465,156/259 is 12/120435

2 96, 156
2 48, 78
3 24, 39
8, 13

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

Greatest Common Factor of 96,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,156 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 96,156 . The biggest common factor number is the GCF number.
So the greatest common factor 96,156 is 12.

Lets's calculate LCM of 465,259

Given numbers has no common factors except 1. So, there LCM is their product i.e 120435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/120435

Therefore, the GCF of Fractions 96/465,156/259 is 12/120435

Least Common Multiple of 465,259 with GCF Formula

Least Common Multiple of 465,259 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 465,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,259) = 1

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

GCF(465,259) x common factors =1 x 1 = 1

LCM(465,259) = ( 465 × 259 ) / 1

LCM(465,259) = 120435 / 1

LCM(465,259) = 120435


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 96/465, 156/259

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 96/465, 156/259?

Answer: GCF of Numerators as per given numbers 96/465, 156/259 is

GCF of Numerators i.e. for 96,156 is 12

LCM of denominators i.e. for 465,259 is 120435.

Thus, GCF of Fractions is 12/120435.Finally, GCF of Fractions for 96/465, 156/259 is 12/120435.