Greatest Common Factor of 201/362, 274/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/362, 274/657

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 201/362,274/657

Given fractions are 201/362,274/657

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 201,274

Greatest Common Factor of Numerators i.e. GCF of 201,274 is 1 .

LCM of Denominators means LCM of 362,657 as per the given fractions.

LCM of 362,657 is 237834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,274

GCF of Fractions 201/362,274/657 is 1/237834

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

Greatest Common Factor of 201,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,274 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 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 201,274 . The biggest common factor number is the GCF number.
So the greatest common factor 201,274 is 1.

Lets's calculate LCM of 362,657

Given numbers has no common factors except 1. So, there LCM is their product i.e 237834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237834

Therefore, the GCF of Fractions 201/362,274/657 is 1/237834

Least Common Multiple of 362,657 with GCF Formula

Least Common Multiple of 362,657 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 362,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,657) = 1

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

GCF(362,657) x common factors =1 x 1 = 1

LCM(362,657) = ( 362 × 657 ) / 1

LCM(362,657) = 237834 / 1

LCM(362,657) = 237834


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 201/362, 274/657

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 201/362, 274/657?

Answer: GCF of Numerators as per given numbers 201/362, 274/657 is

GCF of Numerators i.e. for 201,274 is 1

LCM of denominators i.e. for 362,657 is 237834.

Thus, GCF of Fractions is 1/237834.Finally, GCF of Fractions for 201/362, 274/657 is 1/237834.