Greatest Common Factor of 65/326, 523/967, 266/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/326, 523/967, 266/233

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 65/326,523/967,266/233

Given fractions are 65/326,523/967,266/233

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 65,523,266

Greatest Common Factor of Numerators i.e. GCF of 65,523,266 is 1 .

LCM of Denominators means LCM of 326,967,233 as per the given fractions.

LCM of 326,967,233 is 73451386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,523,266

GCF of Fractions 65/326,523/967,266/233 is 1/73451386

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

Greatest Common Factor of 65,523,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,523,266 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 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 65,523,266 . The biggest common factor number is the GCF number.
So the greatest common factor 65,523,266 is 1.

Lets's calculate LCM of 326,967,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 73451386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73451386

Therefore, the GCF of Fractions 65/326,523/967,266/233 is 1/73451386

Least Common Multiple of 326,967,233 with GCF Formula

Least Common Multiple of 326,967,233 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 326,967,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,967,233) = 1

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

GCF(326,967,233) x common factors =1 x 1 = 1

LCM(326,967,233) = ( 326 × 967 × 233 ) / 1

LCM(326,967,233) = 73451386 / 1

LCM(326,967,233) = 73451386


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 65/326, 523/967, 266/233

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 65/326, 523/967, 266/233?

Answer: GCF of Numerators as per given numbers 65/326, 523/967, 266/233 is

GCF of Numerators i.e. for 65,523,266 is 1

LCM of denominators i.e. for 326,967,233 is 73451386.

Thus, GCF of Fractions is 1/73451386.Finally, GCF of Fractions for 65/326, 523/967, 266/233 is 1/73451386.