Greatest Common Factor of 129/68, 510/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 129/68, 510/868

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 129/68,510/868

Given fractions are 129/68,510/868

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 129,510

Greatest Common Factor of Numerators i.e. GCF of 129,510 is 3 .

LCM of Denominators means LCM of 68,868 as per the given fractions.

LCM of 68,868 is 14756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 129,510

GCF of Fractions 129/68,510/868 is 3/14756

3 129, 510
43, 170

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

Greatest Common Factor of 129,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,510 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 129,510 . The biggest common factor number is the GCF number.
So the greatest common factor 129,510 is 3.

Lets's calculate LCM of 68,868

2 68, 868
2 34, 434
17, 217

∴ So the LCM of the given numbers is 2 x 2 x 17 x 217 = 14756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14756

Therefore, the GCF of Fractions 129/68,510/868 is 3/14756

Least Common Multiple of 68,868 with GCF Formula

Least Common Multiple of 68,868 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 68,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,868) = 4

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

GCF(68,868) x common factors =4 x 1 = 4

LCM(68,868) = ( 68 × 868 ) / 4

LCM(68,868) = 59024 / 4

LCM(68,868) = 14756


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 129/68, 510/868

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 129/68, 510/868?

Answer: GCF of Numerators as per given numbers 129/68, 510/868 is

GCF of Numerators i.e. for 129,510 is 3

LCM of denominators i.e. for 68,868 is 14756.

Thus, GCF of Fractions is 3/14756.Finally, GCF of Fractions for 129/68, 510/868 is 3/14756.