Greatest Common Factor of 48/52, 390/26, 966/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/52, 390/26, 966/267

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 48/52,390/26,966/267

Given fractions are 48/52,390/26,966/267

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 48,390,966

Greatest Common Factor of Numerators i.e. GCF of 48,390,966 is 6 .

LCM of Denominators means LCM of 52,26,267 as per the given fractions.

LCM of 52,26,267 is 13884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,390,966

GCF of Fractions 48/52,390/26,966/267 is 6/13884

2 48, 390, 966
3 24, 195, 483
8, 65, 161

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 48,390,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,390,966 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 48,390,966 . The biggest common factor number is the GCF number.
So the greatest common factor 48,390,966 is 6.

Lets's calculate LCM of 52,26,267

2 52, 26, 267
13 26, 13, 267
2, 1, 267

∴ So the LCM of the given numbers is 2 x 13 x 2 x 1 x 267 = 13884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/13884

Therefore, the GCF of Fractions 48/52,390/26,966/267 is 6/13884

Least Common Multiple of 52,26,267 with GCF Formula

Least Common Multiple of 52,26,267 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 52,26,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,26,267) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(52,26,267) x common factors =1 x 26 = 26

LCM(52,26,267) = ( 52 × 26 × 267 ) / 26

LCM(52,26,267) = 360984 / 26

LCM(52,26,267) = 13884


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 48/52, 390/26, 966/267

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 48/52, 390/26, 966/267?

Answer: GCF of Numerators as per given numbers 48/52, 390/26, 966/267 is

GCF of Numerators i.e. for 48,390,966 is 6

LCM of denominators i.e. for 52,26,267 is 13884.

Thus, GCF of Fractions is 6/13884.Finally, GCF of Fractions for 48/52, 390/26, 966/267 is 6/13884.