Greatest Common Factor of 129/361, 917/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 129/361, 917/315

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 129/361,917/315

Given fractions are 129/361,917/315

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 129,917

Greatest Common Factor of Numerators i.e. GCF of 129,917 is 1 .

LCM of Denominators means LCM of 361,315 as per the given fractions.

LCM of 361,315 is 113715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 129,917

GCF of Fractions 129/361,917/315 is 1/113715

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

Greatest Common Factor of 129,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,917 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 129,917 . The biggest common factor number is the GCF number.
So the greatest common factor 129,917 is 1.

Lets's calculate LCM of 361,315

Given numbers has no common factors except 1. So, there LCM is their product i.e 113715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113715

Therefore, the GCF of Fractions 129/361,917/315 is 1/113715

Least Common Multiple of 361,315 with GCF Formula

Least Common Multiple of 361,315 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 361,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,315) = 1

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

GCF(361,315) x common factors =1 x 1 = 1

LCM(361,315) = ( 361 × 315 ) / 1

LCM(361,315) = 113715 / 1

LCM(361,315) = 113715


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 129/361, 917/315

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 129/361, 917/315?

Answer: GCF of Numerators as per given numbers 129/361, 917/315 is

GCF of Numerators i.e. for 129,917 is 1

LCM of denominators i.e. for 361,315 is 113715.

Thus, GCF of Fractions is 1/113715.Finally, GCF of Fractions for 129/361, 917/315 is 1/113715.