Greatest Common Factor of 3133/316, 8996/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3133/316, 8996/787

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 3133/316,8996/787

Given fractions are 3133/316,8996/787

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 3133,8996

Greatest Common Factor of Numerators i.e. GCF of 3133,8996 is 13 .

LCM of Denominators means LCM of 316,787 as per the given fractions.

LCM of 316,787 is 248692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3133,8996

GCF of Fractions 3133/316,8996/787 is 13/248692

13 3133, 8996
241, 692

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3133,8996 By Matching Biggest Common Factor Method

Greatest Common Factor of 3133,8996 By Matching Biggest Common Factor Method

Factors of 3133

List of positive integer factors of 3133 that divides 3133 without a remainder.

1,13,241,3133

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1,2,4,13,26,52,173,346,692,2249,4498,8996

Greatest Common Factor

We found the factors 3133,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 3133,8996 is 13.

Lets's calculate LCM of 316,787

Given numbers has no common factors except 1. So, there LCM is their product i.e 248692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/248692

Therefore, the GCF of Fractions 3133/316,8996/787 is 13/248692

Least Common Multiple of 316,787 with GCF Formula

Least Common Multiple of 316,787 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 316,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,787) = 1

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

GCF(316,787) x common factors =1 x 1 = 1

LCM(316,787) = ( 316 × 787 ) / 1

LCM(316,787) = 248692 / 1

LCM(316,787) = 248692


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 3133/316, 8996/787

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 3133/316, 8996/787?

Answer: GCF of Numerators as per given numbers 3133/316, 8996/787 is

GCF of Numerators i.e. for 3133,8996 is 13

LCM of denominators i.e. for 316,787 is 248692.

Thus, GCF of Fractions is 13/248692.Finally, GCF of Fractions for 3133/316, 8996/787 is 13/248692.