Greatest Common Factor of 3072/303, 5768/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3072/303, 5768/703

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 3072/303,5768/703

Given fractions are 3072/303,5768/703

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 3072,5768

Greatest Common Factor of Numerators i.e. GCF of 3072,5768 is 8 .

LCM of Denominators means LCM of 303,703 as per the given fractions.

LCM of 303,703 is 213009 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3072,5768

GCF of Fractions 3072/303,5768/703 is 8/213009

2 3072, 5768
2 1536, 2884
2 768, 1442
384, 721

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3072,5768 By Matching Biggest Common Factor Method

Greatest Common Factor of 3072,5768 By Matching Biggest Common Factor Method

Factors of 3072

List of positive integer factors of 3072 that divides 3072 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072

Factors of 5768

List of positive integer factors of 5768 that divides 5768 without a remainder.

1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768

Greatest Common Factor

We found the factors 3072,5768 . The biggest common factor number is the GCF number.
So the greatest common factor 3072,5768 is 8.

Lets's calculate LCM of 303,703

Given numbers has no common factors except 1. So, there LCM is their product i.e 213009

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/213009

Therefore, the GCF of Fractions 3072/303,5768/703 is 8/213009

Least Common Multiple of 303,703 with GCF Formula

Least Common Multiple of 303,703 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 303,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,703) = 1

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

GCF(303,703) x common factors =1 x 1 = 1

LCM(303,703) = ( 303 × 703 ) / 1

LCM(303,703) = 213009 / 1

LCM(303,703) = 213009


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 3072/303, 5768/703

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 3072/303, 5768/703?

Answer: GCF of Numerators as per given numbers 3072/303, 5768/703 is

GCF of Numerators i.e. for 3072,5768 is 8

LCM of denominators i.e. for 303,703 is 213009.

Thus, GCF of Fractions is 8/213009.Finally, GCF of Fractions for 3072/303, 5768/703 is 8/213009.