Greatest Common Factor of 301/22, 678/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 301/22, 678/297

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 301/22,678/297

Given fractions are 301/22,678/297

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 301,678

Greatest Common Factor of Numerators i.e. GCF of 301,678 is 1 .

LCM of Denominators means LCM of 22,297 as per the given fractions.

LCM of 22,297 is 594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 301,678

GCF of Fractions 301/22,678/297 is 1/594

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

Greatest Common Factor of 301,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,678 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 301,678 . The biggest common factor number is the GCF number.
So the greatest common factor 301,678 is 1.

Lets's calculate LCM of 22,297

11 22, 297
2, 27

∴ So the LCM of the given numbers is 11 x 2 x 27 = 594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594

Therefore, the GCF of Fractions 301/22,678/297 is 1/594

Least Common Multiple of 22,297 with GCF Formula

Least Common Multiple of 22,297 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 22,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,297) = 11

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

GCF(22,297) x common factors =11 x 1 = 11

LCM(22,297) = ( 22 × 297 ) / 11

LCM(22,297) = 6534 / 11

LCM(22,297) = 594


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 301/22, 678/297

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 301/22, 678/297?

Answer: GCF of Numerators as per given numbers 301/22, 678/297 is

GCF of Numerators i.e. for 301,678 is 1

LCM of denominators i.e. for 22,297 is 594.

Thus, GCF of Fractions is 1/594.Finally, GCF of Fractions for 301/22, 678/297 is 1/594.