Greatest Common Factor of 5501/75, 9868/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5501/75, 9868/397

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 5501/75,9868/397

Given fractions are 5501/75,9868/397

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 5501,9868

Greatest Common Factor of Numerators i.e. GCF of 5501,9868 is 1 .

LCM of Denominators means LCM of 75,397 as per the given fractions.

LCM of 75,397 is 29775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5501,9868

GCF of Fractions 5501/75,9868/397 is 1/29775

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

Greatest Common Factor of 5501,9868 By Matching Biggest Common Factor Method

Greatest Common Factor of 5501,9868 By Matching Biggest Common Factor Method

Factors of 5501

List of positive integer factors of 5501 that divides 5501 without a remainder.

1,5501

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1,2,4,2467,4934,9868

Greatest Common Factor

We found the factors 5501,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 5501,9868 is 1.

Lets's calculate LCM of 75,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 29775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29775

Therefore, the GCF of Fractions 5501/75,9868/397 is 1/29775

Least Common Multiple of 75,397 with GCF Formula

Least Common Multiple of 75,397 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 75,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,397) = 1

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

GCF(75,397) x common factors =1 x 1 = 1

LCM(75,397) = ( 75 × 397 ) / 1

LCM(75,397) = 29775 / 1

LCM(75,397) = 29775


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 5501/75, 9868/397

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 5501/75, 9868/397?

Answer: GCF of Numerators as per given numbers 5501/75, 9868/397 is

GCF of Numerators i.e. for 5501,9868 is 1

LCM of denominators i.e. for 75,397 is 29775.

Thus, GCF of Fractions is 1/29775.Finally, GCF of Fractions for 5501/75, 9868/397 is 1/29775.