Greatest Common Factor of 7832/795, 5236/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 7832/795, 5236/249

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 7832/795,5236/249

Given fractions are 7832/795,5236/249

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 7832,5236

Greatest Common Factor of Numerators i.e. GCF of 7832,5236 is 44 .

LCM of Denominators means LCM of 795,249 as per the given fractions.

LCM of 795,249 is 65985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7832,5236

GCF of Fractions 7832/795,5236/249 is 44/65985

2 7832, 5236
2 3916, 2618
11 1958, 1309
178, 119

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 7832,5236 By Matching Biggest Common Factor Method

Greatest Common Factor of 7832,5236 By Matching Biggest Common Factor Method

Factors of 7832

List of positive integer factors of 7832 that divides 7832 without a remainder.

1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236

Greatest Common Factor

We found the factors 7832,5236 . The biggest common factor number is the GCF number.
So the greatest common factor 7832,5236 is 44.


Lets's calculate LCM of 795,249

3 795, 249
265, 83

∴ So the LCM of the given numbers is 3 x 265 x 83 = 65985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/65985

Therefore, the GCF of Fractions 7832/795,5236/249 is 44/65985

Least Common Multiple of 795,249 with GCF Formula

Least Common Multiple of 795,249 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 795,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,249) = 3

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

GCF(795,249) x common factors =3 x 1 = 3

LCM(795,249) = ( 795 × 249 ) / 3

LCM(795,249) = 197955 / 3

LCM(795,249) = 65985


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 7832/795, 5236/249

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 7832/795, 5236/249?

Answer: GCF of Numerators as per given numbers 7832/795, 5236/249 is

GCF of Numerators i.e. for 7832,5236 is 44

LCM of denominators i.e. for 795,249 is 65985.

Thus, GCF of Fractions is 44/65985.Finally, GCF of Fractions for 7832/795, 5236/249 is 44/65985.