Greatest Common Factor of 255/34, 195/6130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/34, 195/6130

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 255/34,195/6130

Given fractions are 255/34,195/6130

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 255,195

Greatest Common Factor of Numerators i.e. GCF of 255,195 is 15 .

LCM of Denominators means LCM of 34,6130 as per the given fractions.

LCM of 34,6130 is 104210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,195

GCF of Fractions 255/34,195/6130 is 15/104210

3 255, 195
5 85, 65
17, 13

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 255,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,195 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 255,195 . The biggest common factor number is the GCF number.
So the greatest common factor 255,195 is 15.

Lets's calculate LCM of 34,6130

2 34, 6130
17, 3065

∴ So the LCM of the given numbers is 2 x 17 x 3065 = 104210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/104210

Therefore, the GCF of Fractions 255/34,195/6130 is 15/104210

Least Common Multiple of 34,6130 with GCF Formula

Least Common Multiple of 34,6130 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 34,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,6130) = 2

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

GCF(34,6130) x common factors =2 x 1 = 2

LCM(34,6130) = ( 34 × 6130 ) / 2

LCM(34,6130) = 208420 / 2

LCM(34,6130) = 104210


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 255/34, 195/6130

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 255/34, 195/6130?

Answer: GCF of Numerators as per given numbers 255/34, 195/6130 is

GCF of Numerators i.e. for 255,195 is 15

LCM of denominators i.e. for 34,6130 is 104210.

Thus, GCF of Fractions is 15/104210.Finally, GCF of Fractions for 255/34, 195/6130 is 15/104210.