Greatest Common Factor of 4756/13, 7378/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4756/13, 7378/473

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 4756/13,7378/473

Given fractions are 4756/13,7378/473

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 4756,7378

Greatest Common Factor of Numerators i.e. GCF of 4756,7378 is 2 .

LCM of Denominators means LCM of 13,473 as per the given fractions.

LCM of 13,473 is 6149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4756,7378

GCF of Fractions 4756/13,7378/473 is 2/6149

2 4756, 7378
2378, 3689

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

Greatest Common Factor of 4756,7378 By Matching Biggest Common Factor Method

Greatest Common Factor of 4756,7378 By Matching Biggest Common Factor Method

Factors of 4756

List of positive integer factors of 4756 that divides 4756 without a remainder.

1,2,4,29,41,58,82,116,164,1189,2378,4756

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

Greatest Common Factor

We found the factors 4756,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 4756,7378 is 2.

Lets's calculate LCM of 13,473

Given numbers has no common factors except 1. So, there LCM is their product i.e 6149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6149

Therefore, the GCF of Fractions 4756/13,7378/473 is 2/6149

Least Common Multiple of 13,473 with GCF Formula

Least Common Multiple of 13,473 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 13,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,473) = 1

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

GCF(13,473) x common factors =1 x 1 = 1

LCM(13,473) = ( 13 × 473 ) / 1

LCM(13,473) = 6149 / 1

LCM(13,473) = 6149


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 4756/13, 7378/473

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 4756/13, 7378/473?

Answer: GCF of Numerators as per given numbers 4756/13, 7378/473 is

GCF of Numerators i.e. for 4756,7378 is 2

LCM of denominators i.e. for 13,473 is 6149.

Thus, GCF of Fractions is 2/6149.Finally, GCF of Fractions for 4756/13, 7378/473 is 2/6149.