Greatest Common Factor of 4029/54, 8064/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4029/54, 8064/506

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 4029/54,8064/506

Given fractions are 4029/54,8064/506

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 4029,8064

Greatest Common Factor of Numerators i.e. GCF of 4029,8064 is 3 .

LCM of Denominators means LCM of 54,506 as per the given fractions.

LCM of 54,506 is 13662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4029,8064

GCF of Fractions 4029/54,8064/506 is 3/13662

3 4029, 8064
1343, 2688

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

Greatest Common Factor of 4029,8064 By Matching Biggest Common Factor Method

Greatest Common Factor of 4029,8064 By Matching Biggest Common Factor Method

Factors of 4029

List of positive integer factors of 4029 that divides 4029 without a remainder.

1,3,17,51,79,237,1343,4029

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064

Greatest Common Factor

We found the factors 4029,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 4029,8064 is 3.

Lets's calculate LCM of 54,506

2 54, 506
27, 253

∴ So the LCM of the given numbers is 2 x 27 x 253 = 13662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13662

Therefore, the GCF of Fractions 4029/54,8064/506 is 3/13662

Least Common Multiple of 54,506 with GCF Formula

Least Common Multiple of 54,506 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 54,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,506) = 2

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

GCF(54,506) x common factors =2 x 1 = 2

LCM(54,506) = ( 54 × 506 ) / 2

LCM(54,506) = 27324 / 2

LCM(54,506) = 13662


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 4029/54, 8064/506

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 4029/54, 8064/506?

Answer: GCF of Numerators as per given numbers 4029/54, 8064/506 is

GCF of Numerators i.e. for 4029,8064 is 3

LCM of denominators i.e. for 54,506 is 13662.

Thus, GCF of Fractions is 3/13662.Finally, GCF of Fractions for 4029/54, 8064/506 is 3/13662.