Greatest Common Factor of 8448/68, 4788/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8448/68, 4788/556

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 8448/68,4788/556

Given fractions are 8448/68,4788/556

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 8448,4788

Greatest Common Factor of Numerators i.e. GCF of 8448,4788 is 12 .

LCM of Denominators means LCM of 68,556 as per the given fractions.

LCM of 68,556 is 9452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8448,4788

GCF of Fractions 8448/68,4788/556 is 12/9452

2 8448, 4788
2 4224, 2394
3 2112, 1197
704, 399

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

Greatest Common Factor of 8448,4788 By Matching Biggest Common Factor Method

Greatest Common Factor of 8448,4788 By Matching Biggest Common Factor Method

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448

Factors of 4788

List of positive integer factors of 4788 that divides 4788 without a remainder.

1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788

Greatest Common Factor

We found the factors 8448,4788 . The biggest common factor number is the GCF number.
So the greatest common factor 8448,4788 is 12.

Lets's calculate LCM of 68,556

2 68, 556
2 34, 278
17, 139

∴ So the LCM of the given numbers is 2 x 2 x 17 x 139 = 9452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/9452

Therefore, the GCF of Fractions 8448/68,4788/556 is 12/9452

Least Common Multiple of 68,556 with GCF Formula

Least Common Multiple of 68,556 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 68,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,556) = 4

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

GCF(68,556) x common factors =4 x 1 = 4

LCM(68,556) = ( 68 × 556 ) / 4

LCM(68,556) = 37808 / 4

LCM(68,556) = 9452


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 8448/68, 4788/556

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 8448/68, 4788/556?

Answer: GCF of Numerators as per given numbers 8448/68, 4788/556 is

GCF of Numerators i.e. for 8448,4788 is 12

LCM of denominators i.e. for 68,556 is 9452.

Thus, GCF of Fractions is 12/9452.Finally, GCF of Fractions for 8448/68, 4788/556 is 12/9452.