Greatest Common Factor of 5714/23, 7201/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5714/23, 7201/406

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 5714/23,7201/406

Given fractions are 5714/23,7201/406

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 5714,7201

Greatest Common Factor of Numerators i.e. GCF of 5714,7201 is 1 .

LCM of Denominators means LCM of 23,406 as per the given fractions.

LCM of 23,406 is 9338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5714,7201

GCF of Fractions 5714/23,7201/406 is 1/9338

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

Greatest Common Factor of 5714,7201 By Matching Biggest Common Factor Method

Greatest Common Factor of 5714,7201 By Matching Biggest Common Factor Method

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1,2,2857,5714

Factors of 7201

List of positive integer factors of 7201 that divides 7201 without a remainder.

1,19,379,7201

Greatest Common Factor

We found the factors 5714,7201 . The biggest common factor number is the GCF number.
So the greatest common factor 5714,7201 is 1.

Lets's calculate LCM of 23,406

Given numbers has no common factors except 1. So, there LCM is their product i.e 9338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9338

Therefore, the GCF of Fractions 5714/23,7201/406 is 1/9338

Least Common Multiple of 23,406 with GCF Formula

Least Common Multiple of 23,406 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 23,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,406) = 1

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

GCF(23,406) x common factors =1 x 1 = 1

LCM(23,406) = ( 23 × 406 ) / 1

LCM(23,406) = 9338 / 1

LCM(23,406) = 9338


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 5714/23, 7201/406

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 5714/23, 7201/406?

Answer: GCF of Numerators as per given numbers 5714/23, 7201/406 is

GCF of Numerators i.e. for 5714,7201 is 1

LCM of denominators i.e. for 23,406 is 9338.

Thus, GCF of Fractions is 1/9338.Finally, GCF of Fractions for 5714/23, 7201/406 is 1/9338.