Greatest Common Factor of 1812/972, 9005/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1812/972, 9005/588

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 1812/972,9005/588

Given fractions are 1812/972,9005/588

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 1812,9005

Greatest Common Factor of Numerators i.e. GCF of 1812,9005 is 1 .

LCM of Denominators means LCM of 972,588 as per the given fractions.

LCM of 972,588 is 47628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1812,9005

GCF of Fractions 1812/972,9005/588 is 1/47628

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

Greatest Common Factor of 1812,9005 By Matching Biggest Common Factor Method

Greatest Common Factor of 1812,9005 By Matching Biggest Common Factor Method

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

Factors of 9005

List of positive integer factors of 9005 that divides 9005 without a remainder.

1,5,1801,9005

Greatest Common Factor

We found the factors 1812,9005 . The biggest common factor number is the GCF number.
So the greatest common factor 1812,9005 is 1.

Lets's calculate LCM of 972,588

2 972, 588
2 486, 294
3 243, 147
81, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 49 = 47628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47628

Therefore, the GCF of Fractions 1812/972,9005/588 is 1/47628

Least Common Multiple of 972,588 with GCF Formula

Least Common Multiple of 972,588 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 972,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,588) = 12

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

GCF(972,588) x common factors =12 x 1 = 12

LCM(972,588) = ( 972 × 588 ) / 12

LCM(972,588) = 571536 / 12

LCM(972,588) = 47628


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 1812/972, 9005/588

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 1812/972, 9005/588?

Answer: GCF of Numerators as per given numbers 1812/972, 9005/588 is

GCF of Numerators i.e. for 1812,9005 is 1

LCM of denominators i.e. for 972,588 is 47628.

Thus, GCF of Fractions is 1/47628.Finally, GCF of Fractions for 1812/972, 9005/588 is 1/47628.