Greatest Common Factor of 738/339, 3425/4002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/339, 3425/4002

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 738/339,3425/4002

Given fractions are 738/339,3425/4002

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 738,3425

Greatest Common Factor of Numerators i.e. GCF of 738,3425 is 1 .

LCM of Denominators means LCM of 339,4002 as per the given fractions.

LCM of 339,4002 is 452226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,3425

GCF of Fractions 738/339,3425/4002 is 1/452226

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

Greatest Common Factor of 738,3425 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,3425 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 3425

List of positive integer factors of 3425 that divides 3425 without a remainder.

1,5,25,137,685,3425

Greatest Common Factor

We found the factors 738,3425 . The biggest common factor number is the GCF number.
So the greatest common factor 738,3425 is 1.

Lets's calculate LCM of 339,4002

3 339, 4002
113, 1334

∴ So the LCM of the given numbers is 3 x 113 x 1334 = 452226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452226

Therefore, the GCF of Fractions 738/339,3425/4002 is 1/452226

Least Common Multiple of 339,4002 with GCF Formula

Least Common Multiple of 339,4002 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 339,4002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,4002) = 3

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

GCF(339,4002) x common factors =3 x 1 = 3

LCM(339,4002) = ( 339 × 4002 ) / 3

LCM(339,4002) = 1356678 / 3

LCM(339,4002) = 452226


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 738/339, 3425/4002

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 738/339, 3425/4002?

Answer: GCF of Numerators as per given numbers 738/339, 3425/4002 is

GCF of Numerators i.e. for 738,3425 is 1

LCM of denominators i.e. for 339,4002 is 452226.

Thus, GCF of Fractions is 1/452226.Finally, GCF of Fractions for 738/339, 3425/4002 is 1/452226.