Greatest Common Factor of 5262/69, 9201/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5262/69, 9201/349

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 5262/69,9201/349

Given fractions are 5262/69,9201/349

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 5262,9201

Greatest Common Factor of Numerators i.e. GCF of 5262,9201 is 3 .

LCM of Denominators means LCM of 69,349 as per the given fractions.

LCM of 69,349 is 24081 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5262,9201

GCF of Fractions 5262/69,9201/349 is 3/24081

3 5262, 9201
1754, 3067

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5262,9201 By Matching Biggest Common Factor Method

Greatest Common Factor of 5262,9201 By Matching Biggest Common Factor Method

Factors of 5262

List of positive integer factors of 5262 that divides 5262 without a remainder.

1,2,3,6,877,1754,2631,5262

Factors of 9201

List of positive integer factors of 9201 that divides 9201 without a remainder.

1,3,3067,9201

Greatest Common Factor

We found the factors 5262,9201 . The biggest common factor number is the GCF number.
So the greatest common factor 5262,9201 is 3.

Lets's calculate LCM of 69,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 24081

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24081

Therefore, the GCF of Fractions 5262/69,9201/349 is 3/24081

Least Common Multiple of 69,349 with GCF Formula

Least Common Multiple of 69,349 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 69,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,349) = 1

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

GCF(69,349) x common factors =1 x 1 = 1

LCM(69,349) = ( 69 × 349 ) / 1

LCM(69,349) = 24081 / 1

LCM(69,349) = 24081


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 5262/69, 9201/349

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 5262/69, 9201/349?

Answer: GCF of Numerators as per given numbers 5262/69, 9201/349 is

GCF of Numerators i.e. for 5262,9201 is 3

LCM of denominators i.e. for 69,349 is 24081.

Thus, GCF of Fractions is 3/24081.Finally, GCF of Fractions for 5262/69, 9201/349 is 3/24081.