Greatest Common Factor of 65/485, 275/169, 321/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/485, 275/169, 321/631

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 65/485,275/169,321/631

Given fractions are 65/485,275/169,321/631

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 65,275,321

Greatest Common Factor of Numerators i.e. GCF of 65,275,321 is 1 .

LCM of Denominators means LCM of 485,169,631 as per the given fractions.

LCM of 485,169,631 is 51719915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,275,321

GCF of Fractions 65/485,275/169,321/631 is 1/51719915

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

Greatest Common Factor of 65,275,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,275,321 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 65,275,321 . The biggest common factor number is the GCF number.
So the greatest common factor 65,275,321 is 1.

Lets's calculate LCM of 485,169,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 51719915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51719915

Therefore, the GCF of Fractions 65/485,275/169,321/631 is 1/51719915

Least Common Multiple of 485,169,631 with GCF Formula

Least Common Multiple of 485,169,631 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 485,169,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,169,631) = 1

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

GCF(485,169,631) x common factors =1 x 1 = 1

LCM(485,169,631) = ( 485 × 169 × 631 ) / 1

LCM(485,169,631) = 51719915 / 1

LCM(485,169,631) = 51719915


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 65/485, 275/169, 321/631

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 65/485, 275/169, 321/631?

Answer: GCF of Numerators as per given numbers 65/485, 275/169, 321/631 is

GCF of Numerators i.e. for 65,275,321 is 1

LCM of denominators i.e. for 485,169,631 is 51719915.

Thus, GCF of Fractions is 1/51719915.Finally, GCF of Fractions for 65/485, 275/169, 321/631 is 1/51719915.