Greatest Common Factor of 255/870, 414/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/870, 414/709

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 255/870,414/709

Given fractions are 255/870,414/709

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 255,414

Greatest Common Factor of Numerators i.e. GCF of 255,414 is 3 .

LCM of Denominators means LCM of 870,709 as per the given fractions.

LCM of 870,709 is 616830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,414

GCF of Fractions 255/870,414/709 is 3/616830

3 255, 414
85, 138

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

Greatest Common Factor of 255,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,414 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 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 255,414 . The biggest common factor number is the GCF number.
So the greatest common factor 255,414 is 3.

Lets's calculate LCM of 870,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 616830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/616830

Therefore, the GCF of Fractions 255/870,414/709 is 3/616830

Least Common Multiple of 870,709 with GCF Formula

Least Common Multiple of 870,709 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 870,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,709) = 1

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

GCF(870,709) x common factors =1 x 1 = 1

LCM(870,709) = ( 870 × 709 ) / 1

LCM(870,709) = 616830 / 1

LCM(870,709) = 616830


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 255/870, 414/709

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 255/870, 414/709?

Answer: GCF of Numerators as per given numbers 255/870, 414/709 is

GCF of Numerators i.e. for 255,414 is 3

LCM of denominators i.e. for 870,709 is 616830.

Thus, GCF of Fractions is 3/616830.Finally, GCF of Fractions for 255/870, 414/709 is 3/616830.