Greatest Common Factor of 3160/108, 4623/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3160/108, 4623/279

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 3160/108,4623/279

Given fractions are 3160/108,4623/279

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 3160,4623

Greatest Common Factor of Numerators i.e. GCF of 3160,4623 is 1 .

LCM of Denominators means LCM of 108,279 as per the given fractions.

LCM of 108,279 is 3348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3160,4623

GCF of Fractions 3160/108,4623/279 is 1/3348

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3160,4623 By Matching Biggest Common Factor Method

Greatest Common Factor of 3160,4623 By Matching Biggest Common Factor Method

Factors of 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Factors of 4623

List of positive integer factors of 4623 that divides 4623 without a remainder.

1,3,23,67,69,201,1541,4623

Greatest Common Factor

We found the factors 3160,4623 . The biggest common factor number is the GCF number.
So the greatest common factor 3160,4623 is 1.

Lets's calculate LCM of 108,279

3 108, 279
3 36, 93
12, 31

∴ So the LCM of the given numbers is 3 x 3 x 12 x 31 = 3348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3348

Therefore, the GCF of Fractions 3160/108,4623/279 is 1/3348

Least Common Multiple of 108,279 with GCF Formula

Least Common Multiple of 108,279 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 108,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,279) = 9

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

GCF(108,279) x common factors =9 x 1 = 9

LCM(108,279) = ( 108 × 279 ) / 9

LCM(108,279) = 30132 / 9

LCM(108,279) = 3348


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 3160/108, 4623/279

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 3160/108, 4623/279?

Answer: GCF of Numerators as per given numbers 3160/108, 4623/279 is

GCF of Numerators i.e. for 3160,4623 is 1

LCM of denominators i.e. for 108,279 is 3348.

Thus, GCF of Fractions is 1/3348.Finally, GCF of Fractions for 3160/108, 4623/279 is 1/3348.