Greatest Common Factor of 108/968, 2148/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 108/968, 2148/919

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 108/968,2148/919

Given fractions are 108/968,2148/919

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 108,2148

Greatest Common Factor of Numerators i.e. GCF of 108,2148 is 12 .

LCM of Denominators means LCM of 968,919 as per the given fractions.

LCM of 968,919 is 889592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 108,2148

GCF of Fractions 108/968,2148/919 is 12/889592

2 108, 2148
2 54, 1074
3 27, 537
9, 179

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 108,2148 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,2148 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1,2,3,4,6,12,179,358,537,716,1074,2148

Greatest Common Factor

We found the factors 108,2148 . The biggest common factor number is the GCF number.
So the greatest common factor 108,2148 is 12.

Lets's calculate LCM of 968,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 889592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/889592

Therefore, the GCF of Fractions 108/968,2148/919 is 12/889592

Least Common Multiple of 968,919 with GCF Formula

Least Common Multiple of 968,919 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 968,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,919) = 1

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

GCF(968,919) x common factors =1 x 1 = 1

LCM(968,919) = ( 968 × 919 ) / 1

LCM(968,919) = 889592 / 1

LCM(968,919) = 889592


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 108/968, 2148/919

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 108/968, 2148/919?

Answer: GCF of Numerators as per given numbers 108/968, 2148/919 is

GCF of Numerators i.e. for 108,2148 is 12

LCM of denominators i.e. for 968,919 is 889592.

Thus, GCF of Fractions is 12/889592.Finally, GCF of Fractions for 108/968, 2148/919 is 12/889592.