Greatest Common Factor of 236/315, 133/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/315, 133/284

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 236/315,133/284

Given fractions are 236/315,133/284

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 236,133

Greatest Common Factor of Numerators i.e. GCF of 236,133 is 1 .

LCM of Denominators means LCM of 315,284 as per the given fractions.

LCM of 315,284 is 89460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,133

GCF of Fractions 236/315,133/284 is 1/89460

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

Greatest Common Factor of 236,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,133 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 236,133 . The biggest common factor number is the GCF number.
So the greatest common factor 236,133 is 1.

Lets's calculate LCM of 315,284

Given numbers has no common factors except 1. So, there LCM is their product i.e 89460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89460

Therefore, the GCF of Fractions 236/315,133/284 is 1/89460

Least Common Multiple of 315,284 with GCF Formula

Least Common Multiple of 315,284 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 315,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,284) = 1

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

GCF(315,284) x common factors =1 x 1 = 1

LCM(315,284) = ( 315 × 284 ) / 1

LCM(315,284) = 89460 / 1

LCM(315,284) = 89460


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 236/315, 133/284

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 236/315, 133/284?

Answer: GCF of Numerators as per given numbers 236/315, 133/284 is

GCF of Numerators i.e. for 236,133 is 1

LCM of denominators i.e. for 315,284 is 89460.

Thus, GCF of Fractions is 1/89460.Finally, GCF of Fractions for 236/315, 133/284 is 1/89460.