Greatest Common Factor of 8242/747, 9248/5208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8242/747, 9248/5208

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 8242/747,9248/5208

Given fractions are 8242/747,9248/5208

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 8242,9248

Greatest Common Factor of Numerators i.e. GCF of 8242,9248 is 2 .

LCM of Denominators means LCM of 747,5208 as per the given fractions.

LCM of 747,5208 is 1296792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8242,9248

GCF of Fractions 8242/747,9248/5208 is 2/1296792

2 8242, 9248
4121, 4624

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

Greatest Common Factor of 8242,9248 By Matching Biggest Common Factor Method

Greatest Common Factor of 8242,9248 By Matching Biggest Common Factor Method

Factors of 8242

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

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

Factors of 9248

List of positive integer factors of 9248 that divides 9248 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248

Greatest Common Factor

We found the factors 8242,9248 . The biggest common factor number is the GCF number.
So the greatest common factor 8242,9248 is 2.

Lets's calculate LCM of 747,5208

3 747, 5208
249, 1736

∴ So the LCM of the given numbers is 3 x 249 x 1736 = 1296792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1296792

Therefore, the GCF of Fractions 8242/747,9248/5208 is 2/1296792

Least Common Multiple of 747,5208 with GCF Formula

Least Common Multiple of 747,5208 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 747,5208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,5208) = 3

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

GCF(747,5208) x common factors =3 x 1 = 3

LCM(747,5208) = ( 747 × 5208 ) / 3

LCM(747,5208) = 3890376 / 3

LCM(747,5208) = 1296792


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 8242/747, 9248/5208

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 8242/747, 9248/5208?

Answer: GCF of Numerators as per given numbers 8242/747, 9248/5208 is

GCF of Numerators i.e. for 8242,9248 is 2

LCM of denominators i.e. for 747,5208 is 1296792.

Thus, GCF of Fractions is 2/1296792.Finally, GCF of Fractions for 8242/747, 9248/5208 is 2/1296792.