How to Find GCF of 439/365, 725/900, 139/578?

GCF of 439/365, 725/900, 139/578

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 439/365, 725/900, 139/578 i.e 1/18987300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/365, 725/900, 139/578.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 439/365,725/900,139/578?

Given fractions are 439/365,725/900,139/578

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 439/365,725/900,139/578, numerators are 439,725,139

Denominators are 365,900,578

The GCF of 439,725,139 is 1 .

LCM of 365,900,578 is 18987300.

The greatest common factor of 439/365,725/900,139/578 = [GCF of 439,725,139]/[LCM of 365,900,578]= 1/18987300

Therefore, the GCF of 439/365,725/900,139/578 is 1/18987300.

Greatest Common Factor of 439,725,139

To find the highest common factor of 439,725,139, we have to find the factors of both numbers and list the highest common factor.

The factors of 439 are 1, 439

The factors of 725 are 1, 5, 25, 29, 145, 725

The factors of 139 are 1, 139

The HCF of 439,725,139 is 1.

Lets's calculate GCF of 439,725,139

Greatest Common Factor (GCF) of 439,725,139 By Common Division

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

Greatest Common Factor of 439,725,139 By Matching Biggest Common Factor Method

Now, list down the factors of 439

1,439

Now, list down the factors of 725

1,5,25,29,145,725

Now, list down the factors of 139

1,139

Greatest Common Factor

We found the factors 439,725,139 . The biggest common factor number is the GCF number.
So the greatest common factor 439,725,139 is 1.

Lets's calculate LCM of 365,900,578

Lowest Common Multiple of 365,900,578 using Common Division

2	365, 900, 578
5	365, 450, 289
	73, 90, 289

∴ So the LCM of the given numbers is 2 x 5 x 73 x 90 x 289 = 18987300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18987300

Therefore, the GCF of Fractions 439/365,725/900,139/578 is 1/18987300

Least Common Multiple of 365,900,578 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 365,900,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,900,578) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(365,900,578) x common factors =1 x 10 = 10

LCM(365,900,578) = ( 365 × 900 × 578 ) / 10

LCM(365,900,578) = 189873000 / 10

LCM(365,900,578) = 18987300

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 439/365, 725/900, 139/578

1. What is the HCF of 439,725,139?

The HCF of 439,725,139 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 439/365, 725/900, 139/578?

Answer: GCF of Numerators as per given numbers 439/365, 725/900, 139/578 is

GCF of Numerators i.e. for 439,725,139 is 1

LCM of denominators i.e. for 365,900,578 is 18987300.

Thus, GCF of Fractions is 1/18987300.Finally, GCF of Fractions for 439/365, 725/900, 139/578 is 1/18987300.