Greatest Common Factor of 109/128, 315/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 109/128, 315/152

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 109/128,315/152

Given fractions are 109/128,315/152

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 109,315

Greatest Common Factor of Numerators i.e. GCF of 109,315 is 1 .

LCM of Denominators means LCM of 128,152 as per the given fractions.

LCM of 128,152 is 2432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 109,315

GCF of Fractions 109/128,315/152 is 1/2432

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 109,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,315 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 109,315 . The biggest common factor number is the GCF number.
So the greatest common factor 109,315 is 1.

Lets's calculate LCM of 128,152

2 128, 152
2 64, 76
2 32, 38
16, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 16 x 19 = 2432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2432

Therefore, the GCF of Fractions 109/128,315/152 is 1/2432

Least Common Multiple of 128,152 with GCF Formula

Least Common Multiple of 128,152 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 128,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,152) = 8

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

GCF(128,152) x common factors =8 x 1 = 8

LCM(128,152) = ( 128 × 152 ) / 8

LCM(128,152) = 19456 / 8

LCM(128,152) = 2432


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 109/128, 315/152

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 109/128, 315/152?

Answer: GCF of Numerators as per given numbers 109/128, 315/152 is

GCF of Numerators i.e. for 109,315 is 1

LCM of denominators i.e. for 128,152 is 2432.

Thus, GCF of Fractions is 1/2432.Finally, GCF of Fractions for 109/128, 315/152 is 1/2432.