Greatest Common Factor of 4371/137, 9217/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4371/137, 9217/129

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 4371/137,9217/129

Given fractions are 4371/137,9217/129

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 4371,9217

Greatest Common Factor of Numerators i.e. GCF of 4371,9217 is 1 .

LCM of Denominators means LCM of 137,129 as per the given fractions.

LCM of 137,129 is 17673 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4371,9217

GCF of Fractions 4371/137,9217/129 is 1/17673

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

Greatest Common Factor of 4371,9217 By Matching Biggest Common Factor Method

Greatest Common Factor of 4371,9217 By Matching Biggest Common Factor Method

Factors of 4371

List of positive integer factors of 4371 that divides 4371 without a remainder.

1,3,31,47,93,141,1457,4371

Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1,13,709,9217

Greatest Common Factor

We found the factors 4371,9217 . The biggest common factor number is the GCF number.
So the greatest common factor 4371,9217 is 1.

Lets's calculate LCM of 137,129

Given numbers has no common factors except 1. So, there LCM is their product i.e 17673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17673

Therefore, the GCF of Fractions 4371/137,9217/129 is 1/17673

Least Common Multiple of 137,129 with GCF Formula

Least Common Multiple of 137,129 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 137,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,129) = 1

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

GCF(137,129) x common factors =1 x 1 = 1

LCM(137,129) = ( 137 × 129 ) / 1

LCM(137,129) = 17673 / 1

LCM(137,129) = 17673


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 4371/137, 9217/129

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 4371/137, 9217/129?

Answer: GCF of Numerators as per given numbers 4371/137, 9217/129 is

GCF of Numerators i.e. for 4371,9217 is 1

LCM of denominators i.e. for 137,129 is 17673.

Thus, GCF of Fractions is 1/17673.Finally, GCF of Fractions for 4371/137, 9217/129 is 1/17673.