Greatest Common Factor of 229/400, 237/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 229/400, 237/271

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 229/400,237/271

Given fractions are 229/400,237/271

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 229,237

Greatest Common Factor of Numerators i.e. GCF of 229,237 is 1 .

LCM of Denominators means LCM of 400,271 as per the given fractions.

LCM of 400,271 is 108400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,237

GCF of Fractions 229/400,237/271 is 1/108400

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

Greatest Common Factor of 229,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,237 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 229,237 . The biggest common factor number is the GCF number.
So the greatest common factor 229,237 is 1.

Lets's calculate LCM of 400,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 108400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108400

Therefore, the GCF of Fractions 229/400,237/271 is 1/108400

Least Common Multiple of 400,271 with GCF Formula

Least Common Multiple of 400,271 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 400,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,271) = 1

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

GCF(400,271) x common factors =1 x 1 = 1

LCM(400,271) = ( 400 × 271 ) / 1

LCM(400,271) = 108400 / 1

LCM(400,271) = 108400


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 229/400, 237/271

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 229/400, 237/271?

Answer: GCF of Numerators as per given numbers 229/400, 237/271 is

GCF of Numerators i.e. for 229,237 is 1

LCM of denominators i.e. for 400,271 is 108400.

Thus, GCF of Fractions is 1/108400.Finally, GCF of Fractions for 229/400, 237/271 is 1/108400.