Greatest Common Factor of 7565/151, 4875/7636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7565/151, 4875/7636

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 7565/151,4875/7636

Given fractions are 7565/151,4875/7636

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 7565,4875

Greatest Common Factor of Numerators i.e. GCF of 7565,4875 is 5 .

LCM of Denominators means LCM of 151,7636 as per the given fractions.

LCM of 151,7636 is 1153036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7565,4875

GCF of Fractions 7565/151,4875/7636 is 5/1153036

5 7565, 4875
1513, 975

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

Greatest Common Factor of 7565,4875 By Matching Biggest Common Factor Method

Greatest Common Factor of 7565,4875 By Matching Biggest Common Factor Method

Factors of 7565

List of positive integer factors of 7565 that divides 7565 without a remainder.

1,5,17,85,89,445,1513,7565

Factors of 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875

Greatest Common Factor

We found the factors 7565,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 7565,4875 is 5.

Lets's calculate LCM of 151,7636

Given numbers has no common factors except 1. So, there LCM is their product i.e 1153036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1153036

Therefore, the GCF of Fractions 7565/151,4875/7636 is 5/1153036

Least Common Multiple of 151,7636 with GCF Formula

Least Common Multiple of 151,7636 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 151,7636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,7636) = 1

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

GCF(151,7636) x common factors =1 x 1 = 1

LCM(151,7636) = ( 151 × 7636 ) / 1

LCM(151,7636) = 1153036 / 1

LCM(151,7636) = 1153036


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 7565/151, 4875/7636

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 7565/151, 4875/7636?

Answer: GCF of Numerators as per given numbers 7565/151, 4875/7636 is

GCF of Numerators i.e. for 7565,4875 is 5

LCM of denominators i.e. for 151,7636 is 1153036.

Thus, GCF of Fractions is 5/1153036.Finally, GCF of Fractions for 7565/151, 4875/7636 is 5/1153036.