Greatest Common Factor of 39/37, 42/77, 728/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/37, 42/77, 728/443

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 39/37,42/77,728/443

Given fractions are 39/37,42/77,728/443

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 39,42,728

Greatest Common Factor of Numerators i.e. GCF of 39,42,728 is 1 .

LCM of Denominators means LCM of 37,77,443 as per the given fractions.

LCM of 37,77,443 is 1262107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,42,728

GCF of Fractions 39/37,42/77,728/443 is 1/1262107

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

Greatest Common Factor of 39,42,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,42,728 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 39,42,728 . The biggest common factor number is the GCF number.
So the greatest common factor 39,42,728 is 1.

Lets's calculate LCM of 37,77,443

Given numbers has no common factors except 1. So, there LCM is their product i.e 1262107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1262107

Therefore, the GCF of Fractions 39/37,42/77,728/443 is 1/1262107

Least Common Multiple of 37,77,443 with GCF Formula

Least Common Multiple of 37,77,443 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 37,77,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,77,443) = 1

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

GCF(37,77,443) x common factors =1 x 1 = 1

LCM(37,77,443) = ( 37 × 77 × 443 ) / 1

LCM(37,77,443) = 1262107 / 1

LCM(37,77,443) = 1262107


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 39/37, 42/77, 728/443

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 39/37, 42/77, 728/443?

Answer: GCF of Numerators as per given numbers 39/37, 42/77, 728/443 is

GCF of Numerators i.e. for 39,42,728 is 1

LCM of denominators i.e. for 37,77,443 is 1262107.

Thus, GCF of Fractions is 1/1262107.Finally, GCF of Fractions for 39/37, 42/77, 728/443 is 1/1262107.