Greatest Common Factor of 768/338, 5612/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 768/338, 5612/552

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 768/338,5612/552

Given fractions are 768/338,5612/552

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 768,5612

Greatest Common Factor of Numerators i.e. GCF of 768,5612 is 4 .

LCM of Denominators means LCM of 338,552 as per the given fractions.

LCM of 338,552 is 93288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 768,5612

GCF of Fractions 768/338,5612/552 is 4/93288

2 768, 5612
2 384, 2806
192, 1403

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 768,5612 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,5612 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 5612

List of positive integer factors of 5612 that divides 5612 without a remainder.

1,2,4,23,46,61,92,122,244,1403,2806,5612

Greatest Common Factor

We found the factors 768,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 768,5612 is 4.

Lets's calculate LCM of 338,552

2 338, 552
169, 276

∴ So the LCM of the given numbers is 2 x 169 x 276 = 93288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/93288

Therefore, the GCF of Fractions 768/338,5612/552 is 4/93288

Least Common Multiple of 338,552 with GCF Formula

Least Common Multiple of 338,552 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 338,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,552) = 2

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

GCF(338,552) x common factors =2 x 1 = 2

LCM(338,552) = ( 338 × 552 ) / 2

LCM(338,552) = 186576 / 2

LCM(338,552) = 93288


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 768/338, 5612/552

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 768/338, 5612/552?

Answer: GCF of Numerators as per given numbers 768/338, 5612/552 is

GCF of Numerators i.e. for 768,5612 is 4

LCM of denominators i.e. for 338,552 is 93288.

Thus, GCF of Fractions is 4/93288.Finally, GCF of Fractions for 768/338, 5612/552 is 4/93288.