Greatest Common Factor of 2996/43, 8872/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2996/43, 8872/829

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 2996/43,8872/829

Given fractions are 2996/43,8872/829

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 2996,8872

Greatest Common Factor of Numerators i.e. GCF of 2996,8872 is 4 .

LCM of Denominators means LCM of 43,829 as per the given fractions.

LCM of 43,829 is 35647 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2996,8872

GCF of Fractions 2996/43,8872/829 is 4/35647

2 2996, 8872
2 1498, 4436
749, 2218

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2996,8872 By Matching Biggest Common Factor Method

Greatest Common Factor of 2996,8872 By Matching Biggest Common Factor Method

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1,2,4,7,14,28,107,214,428,749,1498,2996

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1,2,4,8,1109,2218,4436,8872

Greatest Common Factor

We found the factors 2996,8872 . The biggest common factor number is the GCF number.
So the greatest common factor 2996,8872 is 4.

Lets's calculate LCM of 43,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 35647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35647

Therefore, the GCF of Fractions 2996/43,8872/829 is 4/35647

Least Common Multiple of 43,829 with GCF Formula

Least Common Multiple of 43,829 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 43,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,829) = 1

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

GCF(43,829) x common factors =1 x 1 = 1

LCM(43,829) = ( 43 × 829 ) / 1

LCM(43,829) = 35647 / 1

LCM(43,829) = 35647


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 2996/43, 8872/829

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 2996/43, 8872/829?

Answer: GCF of Numerators as per given numbers 2996/43, 8872/829 is

GCF of Numerators i.e. for 2996,8872 is 4

LCM of denominators i.e. for 43,829 is 35647.

Thus, GCF of Fractions is 4/35647.Finally, GCF of Fractions for 2996/43, 8872/829 is 4/35647.