Greatest Common Factor of 5577/624, 6006/4142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5577/624, 6006/4142

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 5577/624,6006/4142

Given fractions are 5577/624,6006/4142

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 5577,6006

Greatest Common Factor of Numerators i.e. GCF of 5577,6006 is 429 .

LCM of Denominators means LCM of 624,4142 as per the given fractions.

LCM of 624,4142 is 1292304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5577,6006

GCF of Fractions 5577/624,6006/4142 is 429/1292304

3 5577, 6006
11 1859, 2002
13 169, 182
13, 14

∴ So the GCF of the given numbers is 3 x 11 x 13 = 429

Greatest Common Factor of 5577,6006 By Matching Biggest Common Factor Method

Greatest Common Factor of 5577,6006 By Matching Biggest Common Factor Method

Factors of 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1,3,11,13,33,39,143,169,429,507,1859,5577

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Greatest Common Factor

We found the factors 5577,6006 . The biggest common factor number is the GCF number.
So the greatest common factor 5577,6006 is 429.

Lets's calculate LCM of 624,4142

2 624, 4142
312, 2071

∴ So the LCM of the given numbers is 2 x 312 x 2071 = 1292304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 429/1292304

Therefore, the GCF of Fractions 5577/624,6006/4142 is 429/1292304

Least Common Multiple of 624,4142 with GCF Formula

Least Common Multiple of 624,4142 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 624,4142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,4142) = 2

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

GCF(624,4142) x common factors =2 x 1 = 2

LCM(624,4142) = ( 624 × 4142 ) / 2

LCM(624,4142) = 2584608 / 2

LCM(624,4142) = 1292304


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 5577/624, 6006/4142

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 5577/624, 6006/4142?

Answer: GCF of Numerators as per given numbers 5577/624, 6006/4142 is

GCF of Numerators i.e. for 5577,6006 is 429

LCM of denominators i.e. for 624,4142 is 1292304.

Thus, GCF of Fractions is 429/1292304.Finally, GCF of Fractions for 5577/624, 6006/4142 is 429/1292304.