Greatest Common Factor of 4707/556, 5565/3643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4707/556, 5565/3643

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 4707/556,5565/3643

Given fractions are 4707/556,5565/3643

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 4707,5565

Greatest Common Factor of Numerators i.e. GCF of 4707,5565 is 3 .

LCM of Denominators means LCM of 556,3643 as per the given fractions.

LCM of 556,3643 is 2025508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4707,5565

GCF of Fractions 4707/556,5565/3643 is 3/2025508

3 4707, 5565
1569, 1855

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

Greatest Common Factor of 4707,5565 By Matching Biggest Common Factor Method

Greatest Common Factor of 4707,5565 By Matching Biggest Common Factor Method

Factors of 4707

List of positive integer factors of 4707 that divides 4707 without a remainder.

1,3,9,523,1569,4707

Factors of 5565

List of positive integer factors of 5565 that divides 5565 without a remainder.

1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565

Greatest Common Factor

We found the factors 4707,5565 . The biggest common factor number is the GCF number.
So the greatest common factor 4707,5565 is 3.

Lets's calculate LCM of 556,3643

Given numbers has no common factors except 1. So, there LCM is their product i.e 2025508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2025508

Therefore, the GCF of Fractions 4707/556,5565/3643 is 3/2025508

Least Common Multiple of 556,3643 with GCF Formula

Least Common Multiple of 556,3643 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 556,3643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,3643) = 1

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

GCF(556,3643) x common factors =1 x 1 = 1

LCM(556,3643) = ( 556 × 3643 ) / 1

LCM(556,3643) = 2025508 / 1

LCM(556,3643) = 2025508


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 4707/556, 5565/3643

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 4707/556, 5565/3643?

Answer: GCF of Numerators as per given numbers 4707/556, 5565/3643 is

GCF of Numerators i.e. for 4707,5565 is 3

LCM of denominators i.e. for 556,3643 is 2025508.

Thus, GCF of Fractions is 3/2025508.Finally, GCF of Fractions for 4707/556, 5565/3643 is 3/2025508.