How to Find GCF of 3605/612, 3919/571?

GCF of 3605/612, 3919/571

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 3605/612, 3919/571 i.e 1/349452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3605/612, 3919/571.

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 3605/612,3919/571?

Given fractions are 3605/612,3919/571

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 3605/612,3919/571, numerators are 3605,3919

Denominators are 612,571

The GCF of 3605,3919 is 1 .

LCM of 612,571 is 349452.

The greatest common factor of 3605/612,3919/571 = [GCF of 3605,3919]/[LCM of 612,571]= 1/349452

Therefore, the GCF of 3605/612,3919/571 is 1/349452.

Greatest Common Factor of 3605,3919

To find the highest common factor of 3605,3919, we have to find the factors of both numbers and list the highest common factor.

The factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605

The factors of 3919 are 1, 3919

The HCF of 3605,3919 is 1.

Lets's calculate GCF of 3605,3919

Greatest Common Factor (GCF) of 3605,3919 By Common Division

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

Greatest Common Factor of 3605,3919 By Matching Biggest Common Factor Method

Now, list down the factors of 3605

1,5,7,35,103,515,721,3605

Now, list down the factors of 3919

1,3919

Greatest Common Factor

We found the factors 3605,3919 . The biggest common factor number is the GCF number.
So the greatest common factor 3605,3919 is 1.

Lets's calculate LCM of 612,571

Lowest Common Multiple of 612,571 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 349452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349452

Therefore, the GCF of Fractions 3605/612,3919/571 is 1/349452

Least Common Multiple of 612,571 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 612,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,571) = 1

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

GCF(612,571) x common factors =1 x 1 = 1

LCM(612,571) = ( 612 × 571 ) / 1

LCM(612,571) = 349452 / 1

LCM(612,571) = 349452

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FAQs on GCF of Fractions of 3605/612, 3919/571

1. What is the HCF of 3605,3919?

The HCF of 3605,3919 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 3605/612, 3919/571?

Answer: GCF of Numerators as per given numbers 3605/612, 3919/571 is

GCF of Numerators i.e. for 3605,3919 is 1

LCM of denominators i.e. for 612,571 is 349452.

Thus, GCF of Fractions is 1/349452.Finally, GCF of Fractions for 3605/612, 3919/571 is 1/349452.