Greatest Common Factor of 9242/962, 5082/8911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9242/962, 5082/8911

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 9242/962,5082/8911

Given fractions are 9242/962,5082/8911

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 9242,5082

Greatest Common Factor of Numerators i.e. GCF of 9242,5082 is 2 .

LCM of Denominators means LCM of 962,8911 as per the given fractions.

LCM of 962,8911 is 8572382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9242,5082

GCF of Fractions 9242/962,5082/8911 is 2/8572382

2 9242, 5082
4621, 2541

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9242,5082 By Matching Biggest Common Factor Method

Greatest Common Factor of 9242,5082 By Matching Biggest Common Factor Method

Factors of 9242

List of positive integer factors of 9242 that divides 9242 without a remainder.

1,2,4621,9242

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082

Greatest Common Factor

We found the factors 9242,5082 . The biggest common factor number is the GCF number.
So the greatest common factor 9242,5082 is 2.

Lets's calculate LCM of 962,8911

Given numbers has no common factors except 1. So, there LCM is their product i.e 8572382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8572382

Therefore, the GCF of Fractions 9242/962,5082/8911 is 2/8572382

Least Common Multiple of 962,8911 with GCF Formula

Least Common Multiple of 962,8911 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 962,8911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,8911) = 1

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

GCF(962,8911) x common factors =1 x 1 = 1

LCM(962,8911) = ( 962 × 8911 ) / 1

LCM(962,8911) = 8572382 / 1

LCM(962,8911) = 8572382


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 9242/962, 5082/8911

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 9242/962, 5082/8911?

Answer: GCF of Numerators as per given numbers 9242/962, 5082/8911 is

GCF of Numerators i.e. for 9242,5082 is 2

LCM of denominators i.e. for 962,8911 is 8572382.

Thus, GCF of Fractions is 2/8572382.Finally, GCF of Fractions for 9242/962, 5082/8911 is 2/8572382.