Greatest Common Factor of 65/86, 326/91, 355/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/86, 326/91, 355/361

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 65/86,326/91,355/361

Given fractions are 65/86,326/91,355/361

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 65,326,355

Greatest Common Factor of Numerators i.e. GCF of 65,326,355 is 1 .

LCM of Denominators means LCM of 86,91,361 as per the given fractions.

LCM of 86,91,361 is 2825186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,326,355

GCF of Fractions 65/86,326/91,355/361 is 1/2825186

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

Greatest Common Factor of 65,326,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,326,355 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 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 65,326,355 . The biggest common factor number is the GCF number.
So the greatest common factor 65,326,355 is 1.

Lets's calculate LCM of 86,91,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 2825186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2825186

Therefore, the GCF of Fractions 65/86,326/91,355/361 is 1/2825186

Least Common Multiple of 86,91,361 with GCF Formula

Least Common Multiple of 86,91,361 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 86,91,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,91,361) = 1

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

GCF(86,91,361) x common factors =1 x 1 = 1

LCM(86,91,361) = ( 86 × 91 × 361 ) / 1

LCM(86,91,361) = 2825186 / 1

LCM(86,91,361) = 2825186


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 65/86, 326/91, 355/361

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 65/86, 326/91, 355/361?

Answer: GCF of Numerators as per given numbers 65/86, 326/91, 355/361 is

GCF of Numerators i.e. for 65,326,355 is 1

LCM of denominators i.e. for 86,91,361 is 2825186.

Thus, GCF of Fractions is 1/2825186.Finally, GCF of Fractions for 65/86, 326/91, 355/361 is 1/2825186.