Greatest Common Factor of 4064/42, 3609/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4064/42, 3609/438

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 4064/42,3609/438

Given fractions are 4064/42,3609/438

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 4064,3609

Greatest Common Factor of Numerators i.e. GCF of 4064,3609 is 1 .

LCM of Denominators means LCM of 42,438 as per the given fractions.

LCM of 42,438 is 3066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4064,3609

GCF of Fractions 4064/42,3609/438 is 1/3066

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4064,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 4064,3609 By Matching Biggest Common Factor Method

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1,2,4,8,16,32,127,254,508,1016,2032,4064

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 4064,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 4064,3609 is 1.

Lets's calculate LCM of 42,438

2 42, 438
3 21, 219
7, 73

∴ So the LCM of the given numbers is 2 x 3 x 7 x 73 = 3066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3066

Therefore, the GCF of Fractions 4064/42,3609/438 is 1/3066

Least Common Multiple of 42,438 with GCF Formula

Least Common Multiple of 42,438 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 42,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,438) = 6

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

GCF(42,438) x common factors =6 x 1 = 6

LCM(42,438) = ( 42 × 438 ) / 6

LCM(42,438) = 18396 / 6

LCM(42,438) = 3066


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 4064/42, 3609/438

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 4064/42, 3609/438?

Answer: GCF of Numerators as per given numbers 4064/42, 3609/438 is

GCF of Numerators i.e. for 4064,3609 is 1

LCM of denominators i.e. for 42,438 is 3066.

Thus, GCF of Fractions is 1/3066.Finally, GCF of Fractions for 4064/42, 3609/438 is 1/3066.