Greatest Common Factor of 11/301, 322/813, 196/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/301, 322/813, 196/702

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 11/301,322/813,196/702

Given fractions are 11/301,322/813,196/702

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 11,322,196

Greatest Common Factor of Numerators i.e. GCF of 11,322,196 is 1 .

LCM of Denominators means LCM of 301,813,702 as per the given fractions.

LCM of 301,813,702 is 57262842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,322,196

GCF of Fractions 11/301,322/813,196/702 is 1/57262842

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

Greatest Common Factor of 11,322,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,322,196 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 11,322,196 . The biggest common factor number is the GCF number.
So the greatest common factor 11,322,196 is 1.

Lets's calculate LCM of 301,813,702

3 301, 813, 702
301, 271, 234

∴ So the LCM of the given numbers is 3 x 301 x 271 x 234 = 57262842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57262842

Therefore, the GCF of Fractions 11/301,322/813,196/702 is 1/57262842

Least Common Multiple of 301,813,702 with GCF Formula

Least Common Multiple of 301,813,702 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 301,813,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,813,702) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(301,813,702) x common factors =1 x 3 = 3

LCM(301,813,702) = ( 301 × 813 × 702 ) / 3

LCM(301,813,702) = 171788526 / 3

LCM(301,813,702) = 57262842


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 11/301, 322/813, 196/702

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 11/301, 322/813, 196/702?

Answer: GCF of Numerators as per given numbers 11/301, 322/813, 196/702 is

GCF of Numerators i.e. for 11,322,196 is 1

LCM of denominators i.e. for 301,813,702 is 57262842.

Thus, GCF of Fractions is 1/57262842.Finally, GCF of Fractions for 11/301, 322/813, 196/702 is 1/57262842.