Greatest Common Factor of 265/339, 320/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/339, 320/889

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 265/339,320/889

Given fractions are 265/339,320/889

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 265,320

Greatest Common Factor of Numerators i.e. GCF of 265,320 is 5 .

LCM of Denominators means LCM of 339,889 as per the given fractions.

LCM of 339,889 is 301371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,320

GCF of Fractions 265/339,320/889 is 5/301371

5 265, 320
53, 64

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 265,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,320 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 265,320 . The biggest common factor number is the GCF number.
So the greatest common factor 265,320 is 5.

Lets's calculate LCM of 339,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 301371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/301371

Therefore, the GCF of Fractions 265/339,320/889 is 5/301371

Least Common Multiple of 339,889 with GCF Formula

Least Common Multiple of 339,889 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 339,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,889) = 1

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

GCF(339,889) x common factors =1 x 1 = 1

LCM(339,889) = ( 339 × 889 ) / 1

LCM(339,889) = 301371 / 1

LCM(339,889) = 301371


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 265/339, 320/889

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 265/339, 320/889?

Answer: GCF of Numerators as per given numbers 265/339, 320/889 is

GCF of Numerators i.e. for 265,320 is 5

LCM of denominators i.e. for 339,889 is 301371.

Thus, GCF of Fractions is 5/301371.Finally, GCF of Fractions for 265/339, 320/889 is 5/301371.