Greatest Common Factor of 269/878, 8457/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 269/878, 8457/180

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 269/878,8457/180

Given fractions are 269/878,8457/180

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 269,8457

Greatest Common Factor of Numerators i.e. GCF of 269,8457 is 1 .

LCM of Denominators means LCM of 878,180 as per the given fractions.

LCM of 878,180 is 79020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 269,8457

GCF of Fractions 269/878,8457/180 is 1/79020

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

Greatest Common Factor of 269,8457 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,8457 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 8457

List of positive integer factors of 8457 that divides 8457 without a remainder.

1,3,2819,8457

Greatest Common Factor

We found the factors 269,8457 . The biggest common factor number is the GCF number.
So the greatest common factor 269,8457 is 1.

Lets's calculate LCM of 878,180

2 878, 180
439, 90

∴ So the LCM of the given numbers is 2 x 439 x 90 = 79020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79020

Therefore, the GCF of Fractions 269/878,8457/180 is 1/79020

Least Common Multiple of 878,180 with GCF Formula

Least Common Multiple of 878,180 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 878,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,180) = 2

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

GCF(878,180) x common factors =2 x 1 = 2

LCM(878,180) = ( 878 × 180 ) / 2

LCM(878,180) = 158040 / 2

LCM(878,180) = 79020


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 269/878, 8457/180

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 269/878, 8457/180?

Answer: GCF of Numerators as per given numbers 269/878, 8457/180 is

GCF of Numerators i.e. for 269,8457 is 1

LCM of denominators i.e. for 878,180 is 79020.

Thus, GCF of Fractions is 1/79020.Finally, GCF of Fractions for 269/878, 8457/180 is 1/79020.