Greatest Common Factor of 8088/268, 2970/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8088/268, 2970/384

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 8088/268,2970/384

Given fractions are 8088/268,2970/384

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 8088,2970

Greatest Common Factor of Numerators i.e. GCF of 8088,2970 is 6 .

LCM of Denominators means LCM of 268,384 as per the given fractions.

LCM of 268,384 is 25728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8088,2970

GCF of Fractions 8088/268,2970/384 is 6/25728

2 8088, 2970
3 4044, 1485
1348, 495

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

Greatest Common Factor of 8088,2970 By Matching Biggest Common Factor Method

Greatest Common Factor of 8088,2970 By Matching Biggest Common Factor Method

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors 8088,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 8088,2970 is 6.

Lets's calculate LCM of 268,384

2 268, 384
2 134, 192
67, 96

∴ So the LCM of the given numbers is 2 x 2 x 67 x 96 = 25728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/25728

Therefore, the GCF of Fractions 8088/268,2970/384 is 6/25728

Least Common Multiple of 268,384 with GCF Formula

Least Common Multiple of 268,384 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 268,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,384) = 4

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

GCF(268,384) x common factors =4 x 1 = 4

LCM(268,384) = ( 268 × 384 ) / 4

LCM(268,384) = 102912 / 4

LCM(268,384) = 25728


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 8088/268, 2970/384

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 8088/268, 2970/384?

Answer: GCF of Numerators as per given numbers 8088/268, 2970/384 is

GCF of Numerators i.e. for 8088,2970 is 6

LCM of denominators i.e. for 268,384 is 25728.

Thus, GCF of Fractions is 6/25728.Finally, GCF of Fractions for 8088/268, 2970/384 is 6/25728.