Greatest Common Factor of 9092/938, 8242/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9092/938, 8242/928

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 9092/938,8242/928

Given fractions are 9092/938,8242/928

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 9092,8242

Greatest Common Factor of Numerators i.e. GCF of 9092,8242 is 2 .

LCM of Denominators means LCM of 938,928 as per the given fractions.

LCM of 938,928 is 435232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9092,8242

GCF of Fractions 9092/938,8242/928 is 2/435232

2 9092, 8242
4546, 4121

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

Greatest Common Factor of 9092,8242 By Matching Biggest Common Factor Method

Greatest Common Factor of 9092,8242 By Matching Biggest Common Factor Method

Factors of 9092

List of positive integer factors of 9092 that divides 9092 without a remainder.

1,2,4,2273,4546,9092

Factors of 8242

List of positive integer factors of 8242 that divides 8242 without a remainder.

1,2,13,26,317,634,4121,8242

Greatest Common Factor

We found the factors 9092,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 9092,8242 is 2.

Lets's calculate LCM of 938,928

2 938, 928
469, 464

∴ So the LCM of the given numbers is 2 x 469 x 464 = 435232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/435232

Therefore, the GCF of Fractions 9092/938,8242/928 is 2/435232

Least Common Multiple of 938,928 with GCF Formula

Least Common Multiple of 938,928 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 938,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,928) = 2

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

GCF(938,928) x common factors =2 x 1 = 2

LCM(938,928) = ( 938 × 928 ) / 2

LCM(938,928) = 870464 / 2

LCM(938,928) = 435232


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 9092/938, 8242/928

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 9092/938, 8242/928?

Answer: GCF of Numerators as per given numbers 9092/938, 8242/928 is

GCF of Numerators i.e. for 9092,8242 is 2

LCM of denominators i.e. for 938,928 is 435232.

Thus, GCF of Fractions is 2/435232.Finally, GCF of Fractions for 9092/938, 8242/928 is 2/435232.