How to Find GCF of 1339/521, 7631/329?

GCF of 1339/521, 7631/329

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 1339/521, 7631/329 i.e 13/171409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1339/521, 7631/329.

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 1339/521,7631/329?

Given fractions are 1339/521,7631/329

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 1339/521,7631/329, numerators are 1339,7631

Denominators are 521,329

The GCF of 1339,7631 is 13 .

LCM of 521,329 is 171409.

The greatest common factor of 1339/521,7631/329 = [GCF of 1339,7631]/[LCM of 521,329]= 13/171409

Therefore, the GCF of 1339/521,7631/329 is 13/171409.

Greatest Common Factor of 1339,7631

To find the highest common factor of 1339,7631, we have to find the factors of both numbers and list the highest common factor.

The factors of 1339 are 1, 13, 103, 1339

The factors of 7631 are 1, 13, 587, 7631

The HCF of 1339,7631 is 13.

Lets's calculate GCF of 1339,7631

Greatest Common Factor (GCF) of 1339,7631 By Common Division

13	1339, 7631
	103, 587

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1339,7631 By Matching Biggest Common Factor Method

Now, list down the factors of 1339

1,13,103,1339

Now, list down the factors of 7631

1,13,587,7631

Greatest Common Factor

We found the factors 1339,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 1339,7631 is 13.

Lets's calculate LCM of 521,329

Lowest Common Multiple of 521,329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 171409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/171409

Therefore, the GCF of Fractions 1339/521,7631/329 is 13/171409

Least Common Multiple of 521,329 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 521,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,329) = 1

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

GCF(521,329) x common factors =1 x 1 = 1

LCM(521,329) = ( 521 × 329 ) / 1

LCM(521,329) = 171409 / 1

LCM(521,329) = 171409

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FAQs on GCF of Fractions of 1339/521, 7631/329

1. What is the HCF of 1339,7631?

The HCF of 1339,7631 is 13

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 1339/521, 7631/329?

Answer: GCF of Numerators as per given numbers 1339/521, 7631/329 is

GCF of Numerators i.e. for 1339,7631 is 13

LCM of denominators i.e. for 521,329 is 171409.

Thus, GCF of Fractions is 13/171409.Finally, GCF of Fractions for 1339/521, 7631/329 is 13/171409.