Greatest Common Factor of 626/96, 192/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/96, 192/273

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 626/96,192/273

Given fractions are 626/96,192/273

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 626,192

Greatest Common Factor of Numerators i.e. GCF of 626,192 is 2 .

LCM of Denominators means LCM of 96,273 as per the given fractions.

LCM of 96,273 is 8736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,192

GCF of Fractions 626/96,192/273 is 2/8736

2 626, 192
313, 96

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

Greatest Common Factor of 626,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,192 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 626,192 . The biggest common factor number is the GCF number.
So the greatest common factor 626,192 is 2.

Lets's calculate LCM of 96,273

3 96, 273
32, 91

∴ So the LCM of the given numbers is 3 x 32 x 91 = 8736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8736

Therefore, the GCF of Fractions 626/96,192/273 is 2/8736

Least Common Multiple of 96,273 with GCF Formula

Least Common Multiple of 96,273 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 96,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,273) = 3

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

GCF(96,273) x common factors =3 x 1 = 3

LCM(96,273) = ( 96 × 273 ) / 3

LCM(96,273) = 26208 / 3

LCM(96,273) = 8736


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 626/96, 192/273

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 626/96, 192/273?

Answer: GCF of Numerators as per given numbers 626/96, 192/273 is

GCF of Numerators i.e. for 626,192 is 2

LCM of denominators i.e. for 96,273 is 8736.

Thus, GCF of Fractions is 2/8736.Finally, GCF of Fractions for 626/96, 192/273 is 2/8736.