Greatest Common Factor of 6063/344, 6435/5168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6063/344, 6435/5168

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 6063/344,6435/5168

Given fractions are 6063/344,6435/5168

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 6063,6435

Greatest Common Factor of Numerators i.e. GCF of 6063,6435 is 3 .

LCM of Denominators means LCM of 344,5168 as per the given fractions.

LCM of 344,5168 is 222224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6063,6435

GCF of Fractions 6063/344,6435/5168 is 3/222224

3 6063, 6435
2021, 2145

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

Greatest Common Factor of 6063,6435 By Matching Biggest Common Factor Method

Greatest Common Factor of 6063,6435 By Matching Biggest Common Factor Method

Factors of 6063

List of positive integer factors of 6063 that divides 6063 without a remainder.

1,3,43,47,129,141,2021,6063

Factors of 6435

List of positive integer factors of 6435 that divides 6435 without a remainder.

1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435

Greatest Common Factor

We found the factors 6063,6435 . The biggest common factor number is the GCF number.
So the greatest common factor 6063,6435 is 3.

Lets's calculate LCM of 344,5168

2 344, 5168
2 172, 2584
2 86, 1292
43, 646

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 646 = 222224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/222224

Therefore, the GCF of Fractions 6063/344,6435/5168 is 3/222224

Least Common Multiple of 344,5168 with GCF Formula

Least Common Multiple of 344,5168 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 344,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,5168) = 8

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

GCF(344,5168) x common factors =8 x 1 = 8

LCM(344,5168) = ( 344 × 5168 ) / 8

LCM(344,5168) = 1777792 / 8

LCM(344,5168) = 222224


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 6063/344, 6435/5168

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 6063/344, 6435/5168?

Answer: GCF of Numerators as per given numbers 6063/344, 6435/5168 is

GCF of Numerators i.e. for 6063,6435 is 3

LCM of denominators i.e. for 344,5168 is 222224.

Thus, GCF of Fractions is 3/222224.Finally, GCF of Fractions for 6063/344, 6435/5168 is 3/222224.