Greatest Common Factor of 672/275, 565/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/275, 565/301

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 672/275,565/301

Given fractions are 672/275,565/301

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 672,565

Greatest Common Factor of Numerators i.e. GCF of 672,565 is 1 .

LCM of Denominators means LCM of 275,301 as per the given fractions.

LCM of 275,301 is 82775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,565

GCF of Fractions 672/275,565/301 is 1/82775

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

Greatest Common Factor of 672,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,565 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 672,565 . The biggest common factor number is the GCF number.
So the greatest common factor 672,565 is 1.

Lets's calculate LCM of 275,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 82775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82775

Therefore, the GCF of Fractions 672/275,565/301 is 1/82775

Least Common Multiple of 275,301 with GCF Formula

Least Common Multiple of 275,301 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 275,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,301) = 1

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

GCF(275,301) x common factors =1 x 1 = 1

LCM(275,301) = ( 275 × 301 ) / 1

LCM(275,301) = 82775 / 1

LCM(275,301) = 82775


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 672/275, 565/301

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 672/275, 565/301?

Answer: GCF of Numerators as per given numbers 672/275, 565/301 is

GCF of Numerators i.e. for 672,565 is 1

LCM of denominators i.e. for 275,301 is 82775.

Thus, GCF of Fractions is 1/82775.Finally, GCF of Fractions for 672/275, 565/301 is 1/82775.