Greatest Common Factor of 5073/563, 7446/3722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5073/563, 7446/3722

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 5073/563,7446/3722

Given fractions are 5073/563,7446/3722

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 5073,7446

Greatest Common Factor of Numerators i.e. GCF of 5073,7446 is 3 .

LCM of Denominators means LCM of 563,3722 as per the given fractions.

LCM of 563,3722 is 2095486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5073,7446

GCF of Fractions 5073/563,7446/3722 is 3/2095486

3 5073, 7446
1691, 2482

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5073,7446 By Matching Biggest Common Factor Method

Greatest Common Factor of 5073,7446 By Matching Biggest Common Factor Method

Factors of 5073

List of positive integer factors of 5073 that divides 5073 without a remainder.

1,3,19,57,89,267,1691,5073

Factors of 7446

List of positive integer factors of 7446 that divides 7446 without a remainder.

1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446

Greatest Common Factor

We found the factors 5073,7446 . The biggest common factor number is the GCF number.
So the greatest common factor 5073,7446 is 3.

Lets's calculate LCM of 563,3722

Given numbers has no common factors except 1. So, there LCM is their product i.e 2095486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2095486

Therefore, the GCF of Fractions 5073/563,7446/3722 is 3/2095486

Least Common Multiple of 563,3722 with GCF Formula

Least Common Multiple of 563,3722 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 563,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,3722) = 1

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

GCF(563,3722) x common factors =1 x 1 = 1

LCM(563,3722) = ( 563 × 3722 ) / 1

LCM(563,3722) = 2095486 / 1

LCM(563,3722) = 2095486


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 5073/563, 7446/3722

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 5073/563, 7446/3722?

Answer: GCF of Numerators as per given numbers 5073/563, 7446/3722 is

GCF of Numerators i.e. for 5073,7446 is 3

LCM of denominators i.e. for 563,3722 is 2095486.

Thus, GCF of Fractions is 3/2095486.Finally, GCF of Fractions for 5073/563, 7446/3722 is 3/2095486.