Greatest Common Factor of 12/630, 5772/9981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/630, 5772/9981

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 12/630,5772/9981

Given fractions are 12/630,5772/9981

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 12,5772

Greatest Common Factor of Numerators i.e. GCF of 12,5772 is 12 .

LCM of Denominators means LCM of 630,9981 as per the given fractions.

LCM of 630,9981 is 698670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,5772

GCF of Fractions 12/630,5772/9981 is 12/698670

2 12, 5772
2 6, 2886
3 3, 1443
1, 481

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 12,5772 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,5772 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Greatest Common Factor

We found the factors 12,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 12,5772 is 12.

Lets's calculate LCM of 630,9981

3 630, 9981
3 210, 3327
70, 1109

∴ So the LCM of the given numbers is 3 x 3 x 70 x 1109 = 698670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/698670

Therefore, the GCF of Fractions 12/630,5772/9981 is 12/698670

Least Common Multiple of 630,9981 with GCF Formula

Least Common Multiple of 630,9981 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 630,9981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,9981) = 9

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

GCF(630,9981) x common factors =9 x 1 = 9

LCM(630,9981) = ( 630 × 9981 ) / 9

LCM(630,9981) = 6288030 / 9

LCM(630,9981) = 698670


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 12/630, 5772/9981

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 12/630, 5772/9981?

Answer: GCF of Numerators as per given numbers 12/630, 5772/9981 is

GCF of Numerators i.e. for 12,5772 is 12

LCM of denominators i.e. for 630,9981 is 698670.

Thus, GCF of Fractions is 12/698670.Finally, GCF of Fractions for 12/630, 5772/9981 is 12/698670.