Greatest Common Factor of 456/42, 756/7703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/42, 756/7703

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 456/42,756/7703

Given fractions are 456/42,756/7703

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 456,756

Greatest Common Factor of Numerators i.e. GCF of 456,756 is 12 .

LCM of Denominators means LCM of 42,7703 as per the given fractions.

LCM of 42,7703 is 323526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,756

GCF of Fractions 456/42,756/7703 is 12/323526

2 456, 756
2 228, 378
3 114, 189
38, 63

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

Greatest Common Factor of 456,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,756 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 456,756 . The biggest common factor number is the GCF number.
So the greatest common factor 456,756 is 12.

Lets's calculate LCM of 42,7703

Given numbers has no common factors except 1. So, there LCM is their product i.e 323526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/323526

Therefore, the GCF of Fractions 456/42,756/7703 is 12/323526

Least Common Multiple of 42,7703 with GCF Formula

Least Common Multiple of 42,7703 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 42,7703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,7703) = 1

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

GCF(42,7703) x common factors =1 x 1 = 1

LCM(42,7703) = ( 42 × 7703 ) / 1

LCM(42,7703) = 323526 / 1

LCM(42,7703) = 323526


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 456/42, 756/7703

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 456/42, 756/7703?

Answer: GCF of Numerators as per given numbers 456/42, 756/7703 is

GCF of Numerators i.e. for 456,756 is 12

LCM of denominators i.e. for 42,7703 is 323526.

Thus, GCF of Fractions is 12/323526.Finally, GCF of Fractions for 456/42, 756/7703 is 12/323526.