Greatest Common Factor of 30/91, 31/507, 224/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/91, 31/507, 224/629

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 30/91,31/507,224/629

Given fractions are 30/91,31/507,224/629

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 30,31,224

Greatest Common Factor of Numerators i.e. GCF of 30,31,224 is 1 .

LCM of Denominators means LCM of 91,507,629 as per the given fractions.

LCM of 91,507,629 is 2232321 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,31,224

GCF of Fractions 30/91,31/507,224/629 is 1/2232321

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

Greatest Common Factor of 30,31,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,31,224 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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

Greatest Common Factor

We found the factors 30,31,224 . The biggest common factor number is the GCF number.
So the greatest common factor 30,31,224 is 1.

Lets's calculate LCM of 91,507,629

13 91, 507, 629
7, 39, 629

∴ So the LCM of the given numbers is 13 x 7 x 39 x 629 = 2232321

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2232321

Therefore, the GCF of Fractions 30/91,31/507,224/629 is 1/2232321

Least Common Multiple of 91,507,629 with GCF Formula

Least Common Multiple of 91,507,629 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 91,507,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,507,629) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,507,629) x common factors =1 x 13 = 13

LCM(91,507,629) = ( 91 × 507 × 629 ) / 13

LCM(91,507,629) = 29020173 / 13

LCM(91,507,629) = 2232321


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 30/91, 31/507, 224/629

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 30/91, 31/507, 224/629?

Answer: GCF of Numerators as per given numbers 30/91, 31/507, 224/629 is

GCF of Numerators i.e. for 30,31,224 is 1

LCM of denominators i.e. for 91,507,629 is 2232321.

Thus, GCF of Fractions is 1/2232321.Finally, GCF of Fractions for 30/91, 31/507, 224/629 is 1/2232321.