Greatest Common Factor of 5982/872, 7536/9382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5982/872, 7536/9382

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 5982/872,7536/9382

Given fractions are 5982/872,7536/9382

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 5982,7536

Greatest Common Factor of Numerators i.e. GCF of 5982,7536 is 6 .

LCM of Denominators means LCM of 872,9382 as per the given fractions.

LCM of 872,9382 is 4090552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5982,7536

GCF of Fractions 5982/872,7536/9382 is 6/4090552

2 5982, 7536
3 2991, 3768
997, 1256

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5982,7536 By Matching Biggest Common Factor Method

Greatest Common Factor of 5982,7536 By Matching Biggest Common Factor Method

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1,2,3,6,997,1994,2991,5982

Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536

Greatest Common Factor

We found the factors 5982,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,7536 is 6.

Lets's calculate LCM of 872,9382

2 872, 9382
436, 4691

∴ So the LCM of the given numbers is 2 x 436 x 4691 = 4090552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4090552

Therefore, the GCF of Fractions 5982/872,7536/9382 is 6/4090552

Least Common Multiple of 872,9382 with GCF Formula

Least Common Multiple of 872,9382 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 872,9382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,9382) = 2

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

GCF(872,9382) x common factors =2 x 1 = 2

LCM(872,9382) = ( 872 × 9382 ) / 2

LCM(872,9382) = 8181104 / 2

LCM(872,9382) = 4090552


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 5982/872, 7536/9382

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 5982/872, 7536/9382?

Answer: GCF of Numerators as per given numbers 5982/872, 7536/9382 is

GCF of Numerators i.e. for 5982,7536 is 6

LCM of denominators i.e. for 872,9382 is 4090552.

Thus, GCF of Fractions is 6/4090552.Finally, GCF of Fractions for 5982/872, 7536/9382 is 6/4090552.