Greatest Common Factor of 1260/38, 1332/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1260/38, 1332/792

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 1260/38,1332/792

Given fractions are 1260/38,1332/792

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 1260,1332

Greatest Common Factor of Numerators i.e. GCF of 1260,1332 is 36 .

LCM of Denominators means LCM of 38,792 as per the given fractions.

LCM of 38,792 is 15048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1260,1332

GCF of Fractions 1260/38,1332/792 is 36/15048

2 1260, 1332
2 630, 666
3 315, 333
3 105, 111
35, 37

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 1260,1332 By Matching Biggest Common Factor Method

Greatest Common Factor of 1260,1332 By Matching Biggest Common Factor Method

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Factors of 1332

List of positive integer factors of 1332 that divides 1332 without a remainder.

1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332

Greatest Common Factor

We found the factors 1260,1332 . The biggest common factor number is the GCF number.
So the greatest common factor 1260,1332 is 36.

Lets's calculate LCM of 38,792

2 38, 792
19, 396

∴ So the LCM of the given numbers is 2 x 19 x 396 = 15048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/15048

Therefore, the GCF of Fractions 1260/38,1332/792 is 36/15048

Least Common Multiple of 38,792 with GCF Formula

Least Common Multiple of 38,792 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 38,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,792) = 2

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

GCF(38,792) x common factors =2 x 1 = 2

LCM(38,792) = ( 38 × 792 ) / 2

LCM(38,792) = 30096 / 2

LCM(38,792) = 15048


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 1260/38, 1332/792

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 1260/38, 1332/792?

Answer: GCF of Numerators as per given numbers 1260/38, 1332/792 is

GCF of Numerators i.e. for 1260,1332 is 36

LCM of denominators i.e. for 38,792 is 15048.

Thus, GCF of Fractions is 36/15048.Finally, GCF of Fractions for 1260/38, 1332/792 is 36/15048.