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GCF of 329/25, 439/231

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 329/25, 439/231 i.e 1/5775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 329/25, 439/231.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 329/25,439/231?

Given fractions are 329/25,439/231

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 329/25,439/231, numerators are 329,439

Denominators are 25,231

The GCF of 329,439 is 1 .

LCM of 25,231 is 5775.

The greatest common factor of 329/25,439/231 = [GCF of 329,439]/[LCM of 25,231]= 1/5775

Therefore, the GCF of 329/25,439/231 is 1/5775.

Greatest Common Factor of 329,439

To find the highest common factor of 329,439, we have to find the factors of both numbers and list the highest common factor.

The factors of 329 are 1, 7, 47, 329

The factors of 439 are 1, 439

The HCF of 329,439 is 1.

Lets's calculate GCF of 329,439

Greatest Common Factor (GCF) of 329,439 By Common Division

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

Greatest Common Factor of 329,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,439 By Matching Biggest Common Factor Method

Now, list down the factors of 329

:

1,7,47,329

Now, list down the factors of 439

:

1,439

Greatest Common Factor

We found the factors 329,439 . The biggest common factor number is the GCF number.
So the greatest common factor 329,439 is 1.

Lets's calculate LCM of 25,231

Lowest Common Multiple of 25,231 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5775

Therefore, the GCF of Fractions 329/25,439/231 is 1/5775

Least Common Multiple of 25,231 with GCF Formula

Least Common Multiple of 25,231 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 25,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,231) = 1

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

GCF(25,231) x common factors =1 x 1 = 1

LCM(25,231) = ( 25 × 231 ) / 1

LCM(25,231) = 5775 / 1

LCM(25,231) = 5775


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FAQs on GCF of Fractions of 329/25, 439/231

1. What is the HCF of 329,439?

The HCF of 329,439 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 329/25, 439/231?

Answer: GCF of Numerators as per given numbers 329/25, 439/231 is

GCF of Numerators i.e. for 329,439 is 1

LCM of denominators i.e. for 25,231 is 5775.

Thus, GCF of Fractions is 1/5775.Finally, GCF of Fractions for 329/25, 439/231 is 1/5775.