Greatest Common Factor of 6036/72, 1263/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6036/72, 1263/996

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 6036/72,1263/996

Given fractions are 6036/72,1263/996

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 6036,1263

Greatest Common Factor of Numerators i.e. GCF of 6036,1263 is 3 .

LCM of Denominators means LCM of 72,996 as per the given fractions.

LCM of 72,996 is 5976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6036,1263

GCF of Fractions 6036/72,1263/996 is 3/5976

3 6036, 1263
2012, 421

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6036,1263 By Matching Biggest Common Factor Method

Greatest Common Factor of 6036,1263 By Matching Biggest Common Factor Method

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1,2,3,4,6,12,503,1006,1509,2012,3018,6036

Factors of 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1,3,421,1263

Greatest Common Factor

We found the factors 6036,1263 . The biggest common factor number is the GCF number.
So the greatest common factor 6036,1263 is 3.

Lets's calculate LCM of 72,996

2 72, 996
2 36, 498
3 18, 249
6, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 83 = 5976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5976

Therefore, the GCF of Fractions 6036/72,1263/996 is 3/5976

Least Common Multiple of 72,996 with GCF Formula

Least Common Multiple of 72,996 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 72,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,996) = 12

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

GCF(72,996) x common factors =12 x 1 = 12

LCM(72,996) = ( 72 × 996 ) / 12

LCM(72,996) = 71712 / 12

LCM(72,996) = 5976


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 6036/72, 1263/996

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 6036/72, 1263/996?

Answer: GCF of Numerators as per given numbers 6036/72, 1263/996 is

GCF of Numerators i.e. for 6036,1263 is 3

LCM of denominators i.e. for 72,996 is 5976.

Thus, GCF of Fractions is 3/5976.Finally, GCF of Fractions for 6036/72, 1263/996 is 3/5976.