Greatest Common Factor of 65/321, 491/610, 578/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/321, 491/610, 578/427

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 65/321,491/610,578/427

Given fractions are 65/321,491/610,578/427

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 65,491,578

Greatest Common Factor of Numerators i.e. GCF of 65,491,578 is 1 .

LCM of Denominators means LCM of 321,610,427 as per the given fractions.

LCM of 321,610,427 is 1370670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,491,578

GCF of Fractions 65/321,491/610,578/427 is 1/1370670

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

Greatest Common Factor of 65,491,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,491,578 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 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 65,491,578 . The biggest common factor number is the GCF number.
So the greatest common factor 65,491,578 is 1.

Lets's calculate LCM of 321,610,427

61 321, 610, 427
321, 10, 7

∴ So the LCM of the given numbers is 61 x 321 x 10 x 7 = 1370670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1370670

Therefore, the GCF of Fractions 65/321,491/610,578/427 is 1/1370670

Least Common Multiple of 321,610,427 with GCF Formula

Least Common Multiple of 321,610,427 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 321,610,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,610,427) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(321,610,427) x common factors =1 x 61 = 61

LCM(321,610,427) = ( 321 × 610 × 427 ) / 61

LCM(321,610,427) = 83610870 / 61

LCM(321,610,427) = 1370670


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 65/321, 491/610, 578/427

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 65/321, 491/610, 578/427?

Answer: GCF of Numerators as per given numbers 65/321, 491/610, 578/427 is

GCF of Numerators i.e. for 65,491,578 is 1

LCM of denominators i.e. for 321,610,427 is 1370670.

Thus, GCF of Fractions is 1/1370670.Finally, GCF of Fractions for 65/321, 491/610, 578/427 is 1/1370670.