Greatest Common Factor of 6168/169, 8510/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6168/169, 8510/123

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 6168/169,8510/123

Given fractions are 6168/169,8510/123

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 6168,8510

Greatest Common Factor of Numerators i.e. GCF of 6168,8510 is 2 .

LCM of Denominators means LCM of 169,123 as per the given fractions.

LCM of 169,123 is 20787 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6168,8510

GCF of Fractions 6168/169,8510/123 is 2/20787

2 6168, 8510
3084, 4255

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

Greatest Common Factor of 6168,8510 By Matching Biggest Common Factor Method

Greatest Common Factor of 6168,8510 By Matching Biggest Common Factor Method

Factors of 6168

List of positive integer factors of 6168 that divides 6168 without a remainder.

1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510

Greatest Common Factor

We found the factors 6168,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 6168,8510 is 2.

Lets's calculate LCM of 169,123

Given numbers has no common factors except 1. So, there LCM is their product i.e 20787

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20787

Therefore, the GCF of Fractions 6168/169,8510/123 is 2/20787

Least Common Multiple of 169,123 with GCF Formula

Least Common Multiple of 169,123 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 169,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,123) = 1

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

GCF(169,123) x common factors =1 x 1 = 1

LCM(169,123) = ( 169 × 123 ) / 1

LCM(169,123) = 20787 / 1

LCM(169,123) = 20787


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 6168/169, 8510/123

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 6168/169, 8510/123?

Answer: GCF of Numerators as per given numbers 6168/169, 8510/123 is

GCF of Numerators i.e. for 6168,8510 is 2

LCM of denominators i.e. for 169,123 is 20787.

Thus, GCF of Fractions is 2/20787.Finally, GCF of Fractions for 6168/169, 8510/123 is 2/20787.