How to Find GCF of 325/86, 491/29, 561/19?

GCF of 325/86, 491/29, 561/19

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 325/86, 491/29, 561/19 i.e 1/47386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/86, 491/29, 561/19.

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 325/86,491/29,561/19?

Given fractions are 325/86,491/29,561/19

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 325/86,491/29,561/19, numerators are 325,491,561

Denominators are 86,29,19

The GCF of 325,491,561 is 1 .

LCM of 86,29,19 is 47386.

The greatest common factor of 325/86,491/29,561/19 = [GCF of 325,491,561]/[LCM of 86,29,19]= 1/47386

Therefore, the GCF of 325/86,491/29,561/19 is 1/47386.

Greatest Common Factor of 325,491,561

To find the highest common factor of 325,491,561, we have to find the factors of both numbers and list the highest common factor.

The factors of 325 are 1, 5, 13, 25, 65, 325

The factors of 491 are 1, 491

The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561

The HCF of 325,491,561 is 1.

Lets's calculate GCF of 325,491,561

Greatest Common Factor (GCF) of 325,491,561 By Common Division

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

Greatest Common Factor of 325,491,561 By Matching Biggest Common Factor Method

Now, list down the factors of 325

1,5,13,25,65,325

Now, list down the factors of 491

1,491

Now, list down the factors of 561

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 325,491,561 . The biggest common factor number is the GCF number.
So the greatest common factor 325,491,561 is 1.

Lets's calculate LCM of 86,29,19

Lowest Common Multiple of 86,29,19 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 47386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47386

Therefore, the GCF of Fractions 325/86,491/29,561/19 is 1/47386

Least Common Multiple of 86,29,19 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 86,29,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,29,19) = 1

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

GCF(86,29,19) x common factors =1 x 1 = 1

LCM(86,29,19) = ( 86 × 29 × 19 ) / 1

LCM(86,29,19) = 47386 / 1

LCM(86,29,19) = 47386

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FAQs on GCF of Fractions of 325/86, 491/29, 561/19

1. What is the HCF of 325,491,561?

The HCF of 325,491,561 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 325/86, 491/29, 561/19?

Answer: GCF of Numerators as per given numbers 325/86, 491/29, 561/19 is

GCF of Numerators i.e. for 325,491,561 is 1

LCM of denominators i.e. for 86,29,19 is 47386.

Thus, GCF of Fractions is 1/47386.Finally, GCF of Fractions for 325/86, 491/29, 561/19 is 1/47386.