Greatest Common Factor of 5175/237, 9076/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5175/237, 9076/969

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 5175/237,9076/969

Given fractions are 5175/237,9076/969

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 5175,9076

Greatest Common Factor of Numerators i.e. GCF of 5175,9076 is 1 .

LCM of Denominators means LCM of 237,969 as per the given fractions.

LCM of 237,969 is 76551 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5175,9076

GCF of Fractions 5175/237,9076/969 is 1/76551

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

Greatest Common Factor of 5175,9076 By Matching Biggest Common Factor Method

Greatest Common Factor of 5175,9076 By Matching Biggest Common Factor Method

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1,2,4,2269,4538,9076

Greatest Common Factor

We found the factors 5175,9076 . The biggest common factor number is the GCF number.
So the greatest common factor 5175,9076 is 1.

Lets's calculate LCM of 237,969

3 237, 969
79, 323

∴ So the LCM of the given numbers is 3 x 79 x 323 = 76551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76551

Therefore, the GCF of Fractions 5175/237,9076/969 is 1/76551

Least Common Multiple of 237,969 with GCF Formula

Least Common Multiple of 237,969 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 237,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,969) = 3

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

GCF(237,969) x common factors =3 x 1 = 3

LCM(237,969) = ( 237 × 969 ) / 3

LCM(237,969) = 229653 / 3

LCM(237,969) = 76551


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 5175/237, 9076/969

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 5175/237, 9076/969?

Answer: GCF of Numerators as per given numbers 5175/237, 9076/969 is

GCF of Numerators i.e. for 5175,9076 is 1

LCM of denominators i.e. for 237,969 is 76551.

Thus, GCF of Fractions is 1/76551.Finally, GCF of Fractions for 5175/237, 9076/969 is 1/76551.