Greatest Common Factor of 224/27, 461/89, 358/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/27, 461/89, 358/729

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 224/27,461/89,358/729

Given fractions are 224/27,461/89,358/729

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 224,461,358

Greatest Common Factor of Numerators i.e. GCF of 224,461,358 is 1 .

LCM of Denominators means LCM of 27,89,729 as per the given fractions.

LCM of 27,89,729 is 64881 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,461,358

GCF of Fractions 224/27,461/89,358/729 is 1/64881

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

Greatest Common Factor of 224,461,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,461,358 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 224,461,358 . The biggest common factor number is the GCF number.
So the greatest common factor 224,461,358 is 1.

Lets's calculate LCM of 27,89,729

3 27, 89, 729
3 9, 89, 243
3 3, 89, 81
1, 89, 27

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 89 x 27 = 64881

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64881

Therefore, the GCF of Fractions 224/27,461/89,358/729 is 1/64881

Least Common Multiple of 27,89,729 with GCF Formula

Least Common Multiple of 27,89,729 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 27,89,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,89,729) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(27,89,729) x common factors =1 x 27 = 27

LCM(27,89,729) = ( 27 × 89 × 729 ) / 27

LCM(27,89,729) = 1751787 / 27

LCM(27,89,729) = 64881


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 224/27, 461/89, 358/729

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 224/27, 461/89, 358/729?

Answer: GCF of Numerators as per given numbers 224/27, 461/89, 358/729 is

GCF of Numerators i.e. for 224,461,358 is 1

LCM of denominators i.e. for 27,89,729 is 64881.

Thus, GCF of Fractions is 1/64881.Finally, GCF of Fractions for 224/27, 461/89, 358/729 is 1/64881.