Greatest Common Factor of 339/75, 349/14, 447/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 339/75, 349/14, 447/89

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 339/75,349/14,447/89

Given fractions are 339/75,349/14,447/89

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 339,349,447

Greatest Common Factor of Numerators i.e. GCF of 339,349,447 is 1 .

LCM of Denominators means LCM of 75,14,89 as per the given fractions.

LCM of 75,14,89 is 93450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 339,349,447

GCF of Fractions 339/75,349/14,447/89 is 1/93450

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

Greatest Common Factor of 339,349,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,349,447 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 339,349,447 . The biggest common factor number is the GCF number.
So the greatest common factor 339,349,447 is 1.

Lets's calculate LCM of 75,14,89

Given numbers has no common factors except 1. So, there LCM is their product i.e 93450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93450

Therefore, the GCF of Fractions 339/75,349/14,447/89 is 1/93450

Least Common Multiple of 75,14,89 with GCF Formula

Least Common Multiple of 75,14,89 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 75,14,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,14,89) = 1

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

GCF(75,14,89) x common factors =1 x 1 = 1

LCM(75,14,89) = ( 75 × 14 × 89 ) / 1

LCM(75,14,89) = 93450 / 1

LCM(75,14,89) = 93450


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 339/75, 349/14, 447/89

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 339/75, 349/14, 447/89?

Answer: GCF of Numerators as per given numbers 339/75, 349/14, 447/89 is

GCF of Numerators i.e. for 339,349,447 is 1

LCM of denominators i.e. for 75,14,89 is 93450.

Thus, GCF of Fractions is 1/93450.Finally, GCF of Fractions for 339/75, 349/14, 447/89 is 1/93450.