How to Find GCF of 3615/336, 6569/1551?

GCF of 3615/336, 6569/1551

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 3615/336, 6569/1551 i.e 1/173712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3615/336, 6569/1551.

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 3615/336,6569/1551?

Given fractions are 3615/336,6569/1551

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 3615/336,6569/1551, numerators are 3615,6569

Denominators are 336,1551

The GCF of 3615,6569 is 1 .

LCM of 336,1551 is 173712.

The greatest common factor of 3615/336,6569/1551 = [GCF of 3615,6569]/[LCM of 336,1551]= 1/173712

Therefore, the GCF of 3615/336,6569/1551 is 1/173712.

Greatest Common Factor of 3615,6569

To find the highest common factor of 3615,6569, we have to find the factors of both numbers and list the highest common factor.

The factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615

The factors of 6569 are 1, 6569

The HCF of 3615,6569 is 1.

Lets's calculate GCF of 3615,6569

Greatest Common Factor (GCF) of 3615,6569 By Common Division

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

Greatest Common Factor of 3615,6569 By Matching Biggest Common Factor Method

Now, list down the factors of 3615

1,3,5,15,241,723,1205,3615

Now, list down the factors of 6569

1,6569

Greatest Common Factor

We found the factors 3615,6569 . The biggest common factor number is the GCF number.
So the greatest common factor 3615,6569 is 1.

Lets's calculate LCM of 336,1551

Lowest Common Multiple of 336,1551 using Common Division

3	336, 1551
	112, 517

∴ So the LCM of the given numbers is 3 x 112 x 517 = 173712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173712

Therefore, the GCF of Fractions 3615/336,6569/1551 is 1/173712

Least Common Multiple of 336,1551 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 336,1551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,1551) = 3

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

GCF(336,1551) x common factors =3 x 1 = 3

LCM(336,1551) = ( 336 × 1551 ) / 3

LCM(336,1551) = 521136 / 3

LCM(336,1551) = 173712

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FAQs on GCF of Fractions of 3615/336, 6569/1551

1. What is the HCF of 3615,6569?

The HCF of 3615,6569 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 3615/336, 6569/1551?

Answer: GCF of Numerators as per given numbers 3615/336, 6569/1551 is

GCF of Numerators i.e. for 3615,6569 is 1

LCM of denominators i.e. for 336,1551 is 173712.

Thus, GCF of Fractions is 1/173712.Finally, GCF of Fractions for 3615/336, 6569/1551 is 1/173712.