Greatest Common Factor of 255/709, 826/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/709, 826/214

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 255/709,826/214

Given fractions are 255/709,826/214

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 255,826

Greatest Common Factor of Numerators i.e. GCF of 255,826 is 1 .

LCM of Denominators means LCM of 709,214 as per the given fractions.

LCM of 709,214 is 151726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,826

GCF of Fractions 255/709,826/214 is 1/151726

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 255,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,826 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 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 255,826 . The biggest common factor number is the GCF number.
So the greatest common factor 255,826 is 1.

Lets's calculate LCM of 709,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 151726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151726

Therefore, the GCF of Fractions 255/709,826/214 is 1/151726

Least Common Multiple of 709,214 with GCF Formula

Least Common Multiple of 709,214 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 709,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,214) = 1

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

GCF(709,214) x common factors =1 x 1 = 1

LCM(709,214) = ( 709 × 214 ) / 1

LCM(709,214) = 151726 / 1

LCM(709,214) = 151726


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 255/709, 826/214

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 255/709, 826/214?

Answer: GCF of Numerators as per given numbers 255/709, 826/214 is

GCF of Numerators i.e. for 255,826 is 1

LCM of denominators i.e. for 709,214 is 151726.

Thus, GCF of Fractions is 1/151726.Finally, GCF of Fractions for 255/709, 826/214 is 1/151726.