Greatest Common Factor of 201/154, 1112/5122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/154, 1112/5122

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 201/154,1112/5122

Given fractions are 201/154,1112/5122

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 201,1112

Greatest Common Factor of Numerators i.e. GCF of 201,1112 is 1 .

LCM of Denominators means LCM of 154,5122 as per the given fractions.

LCM of 154,5122 is 394394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,1112

GCF of Fractions 201/154,1112/5122 is 1/394394

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

Greatest Common Factor of 201,1112 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,1112 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 1112

List of positive integer factors of 1112 that divides 1112 without a remainder.

1,2,4,8,139,278,556,1112

Greatest Common Factor

We found the factors 201,1112 . The biggest common factor number is the GCF number.
So the greatest common factor 201,1112 is 1.

Lets's calculate LCM of 154,5122

2 154, 5122
77, 2561

∴ So the LCM of the given numbers is 2 x 77 x 2561 = 394394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394394

Therefore, the GCF of Fractions 201/154,1112/5122 is 1/394394

Least Common Multiple of 154,5122 with GCF Formula

Least Common Multiple of 154,5122 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 154,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,5122) = 2

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

GCF(154,5122) x common factors =2 x 1 = 2

LCM(154,5122) = ( 154 × 5122 ) / 2

LCM(154,5122) = 788788 / 2

LCM(154,5122) = 394394


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 201/154, 1112/5122

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 201/154, 1112/5122?

Answer: GCF of Numerators as per given numbers 201/154, 1112/5122 is

GCF of Numerators i.e. for 201,1112 is 1

LCM of denominators i.e. for 154,5122 is 394394.

Thus, GCF of Fractions is 1/394394.Finally, GCF of Fractions for 201/154, 1112/5122 is 1/394394.