Greatest Common Factor of 226/66, 952/13, 555/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 226/66, 952/13, 555/837

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 226/66,952/13,555/837

Given fractions are 226/66,952/13,555/837

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 226,952,555

Greatest Common Factor of Numerators i.e. GCF of 226,952,555 is 1 .

LCM of Denominators means LCM of 66,13,837 as per the given fractions.

LCM of 66,13,837 is 239382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 226,952,555

GCF of Fractions 226/66,952/13,555/837 is 1/239382

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

Greatest Common Factor of 226,952,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,952,555 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 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 226,952,555 . The biggest common factor number is the GCF number.
So the greatest common factor 226,952,555 is 1.

Lets's calculate LCM of 66,13,837

3 66, 13, 837
22, 13, 279

∴ So the LCM of the given numbers is 3 x 22 x 13 x 279 = 239382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239382

Therefore, the GCF of Fractions 226/66,952/13,555/837 is 1/239382

Least Common Multiple of 66,13,837 with GCF Formula

Least Common Multiple of 66,13,837 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 66,13,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,13,837) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,13,837) x common factors =1 x 3 = 3

LCM(66,13,837) = ( 66 × 13 × 837 ) / 3

LCM(66,13,837) = 718146 / 3

LCM(66,13,837) = 239382


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 226/66, 952/13, 555/837

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 226/66, 952/13, 555/837?

Answer: GCF of Numerators as per given numbers 226/66, 952/13, 555/837 is

GCF of Numerators i.e. for 226,952,555 is 1

LCM of denominators i.e. for 66,13,837 is 239382.

Thus, GCF of Fractions is 1/239382.Finally, GCF of Fractions for 226/66, 952/13, 555/837 is 1/239382.