Greatest Common Factor of 279/586, 996/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 279/586, 996/762

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 279/586,996/762

Given fractions are 279/586,996/762

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 279,996

Greatest Common Factor of Numerators i.e. GCF of 279,996 is 3 .

LCM of Denominators means LCM of 586,762 as per the given fractions.

LCM of 586,762 is 223266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 279,996

GCF of Fractions 279/586,996/762 is 3/223266

3 279, 996
93, 332

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 279,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,996 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 279,996 . The biggest common factor number is the GCF number.
So the greatest common factor 279,996 is 3.

Lets's calculate LCM of 586,762

2 586, 762
293, 381

∴ So the LCM of the given numbers is 2 x 293 x 381 = 223266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/223266

Therefore, the GCF of Fractions 279/586,996/762 is 3/223266

Least Common Multiple of 586,762 with GCF Formula

Least Common Multiple of 586,762 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 586,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,762) = 2

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

GCF(586,762) x common factors =2 x 1 = 2

LCM(586,762) = ( 586 × 762 ) / 2

LCM(586,762) = 446532 / 2

LCM(586,762) = 223266


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 279/586, 996/762

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 279/586, 996/762?

Answer: GCF of Numerators as per given numbers 279/586, 996/762 is

GCF of Numerators i.e. for 279,996 is 3

LCM of denominators i.e. for 586,762 is 223266.

Thus, GCF of Fractions is 3/223266.Finally, GCF of Fractions for 279/586, 996/762 is 3/223266.