Greatest Common Factor of 226/311, 213/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 226/311, 213/375

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 226/311,213/375

Given fractions are 226/311,213/375

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 226,213

Greatest Common Factor of Numerators i.e. GCF of 226,213 is 1 .

LCM of Denominators means LCM of 311,375 as per the given fractions.

LCM of 311,375 is 116625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 226,213

GCF of Fractions 226/311,213/375 is 1/116625

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

Greatest Common Factor of 226,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,213 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 226,213 . The biggest common factor number is the GCF number.
So the greatest common factor 226,213 is 1.

Lets's calculate LCM of 311,375

Given numbers has no common factors except 1. So, there LCM is their product i.e 116625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116625

Therefore, the GCF of Fractions 226/311,213/375 is 1/116625

Least Common Multiple of 311,375 with GCF Formula

Least Common Multiple of 311,375 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 311,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,375) = 1

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

GCF(311,375) x common factors =1 x 1 = 1

LCM(311,375) = ( 311 × 375 ) / 1

LCM(311,375) = 116625 / 1

LCM(311,375) = 116625


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 226/311, 213/375

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 226/311, 213/375?

Answer: GCF of Numerators as per given numbers 226/311, 213/375 is

GCF of Numerators i.e. for 226,213 is 1

LCM of denominators i.e. for 311,375 is 116625.

Thus, GCF of Fractions is 1/116625.Finally, GCF of Fractions for 226/311, 213/375 is 1/116625.