Greatest Common Factor of 7375/80, 3275/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7375/80, 3275/261

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 7375/80,3275/261

Given fractions are 7375/80,3275/261

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 7375,3275

Greatest Common Factor of Numerators i.e. GCF of 7375,3275 is 25 .

LCM of Denominators means LCM of 80,261 as per the given fractions.

LCM of 80,261 is 20880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7375,3275

GCF of Fractions 7375/80,3275/261 is 25/20880

5 7375, 3275
5 1475, 655
295, 131

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 7375,3275 By Matching Biggest Common Factor Method

Greatest Common Factor of 7375,3275 By Matching Biggest Common Factor Method

Factors of 7375

List of positive integer factors of 7375 that divides 7375 without a remainder.

1,5,25,59,125,295,1475,7375

Factors of 3275

List of positive integer factors of 3275 that divides 3275 without a remainder.

1,5,25,131,655,3275

Greatest Common Factor

We found the factors 7375,3275 . The biggest common factor number is the GCF number.
So the greatest common factor 7375,3275 is 25.

Lets's calculate LCM of 80,261

Given numbers has no common factors except 1. So, there LCM is their product i.e 20880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/20880

Therefore, the GCF of Fractions 7375/80,3275/261 is 25/20880

Least Common Multiple of 80,261 with GCF Formula

Least Common Multiple of 80,261 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 80,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,261) = 1

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

GCF(80,261) x common factors =1 x 1 = 1

LCM(80,261) = ( 80 × 261 ) / 1

LCM(80,261) = 20880 / 1

LCM(80,261) = 20880


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 7375/80, 3275/261

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 7375/80, 3275/261?

Answer: GCF of Numerators as per given numbers 7375/80, 3275/261 is

GCF of Numerators i.e. for 7375,3275 is 25

LCM of denominators i.e. for 80,261 is 20880.

Thus, GCF of Fractions is 25/20880.Finally, GCF of Fractions for 7375/80, 3275/261 is 25/20880.