LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 3597/446, 3357/738

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 3597/446, 3357/738 i.e 3/164574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3597/446, 3357/738.

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 3597/446,3357/738?

Given fractions are 3597/446,3357/738

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 3597/446,3357/738, numerators are 3597,3357

Denominators are 446,738

The GCF of 3597,3357 is 3 .

LCM of 446,738 is 164574.

The greatest common factor of 3597/446,3357/738 = [GCF of 3597,3357]/[LCM of 446,738]= 3/164574

Therefore, the GCF of 3597/446,3357/738 is 3/164574.

Greatest Common Factor of 3597,3357

To find the highest common factor of 3597,3357, we have to find the factors of both numbers and list the highest common factor.

The factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597

The factors of 3357 are 1, 3, 9, 373, 1119, 3357

The HCF of 3597,3357 is 3.

Lets's calculate GCF of 3597,3357

Greatest Common Factor (GCF) of 3597,3357 By Common Division

3 3597, 3357
1199, 1119

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3597,3357 By Matching Biggest Common Factor Method

Greatest Common Factor of 3597,3357 By Matching Biggest Common Factor Method

Now, list down the factors of 3597

:

1,3,11,33,109,327,1199,3597

Now, list down the factors of 3357

:

1,3,9,373,1119,3357

Greatest Common Factor

We found the factors 3597,3357 . The biggest common factor number is the GCF number.
So the greatest common factor 3597,3357 is 3.


Lets's calculate LCM of 446,738

Lowest Common Multiple of 446,738 using Common Division

2 446, 738
223, 369

∴ So the LCM of the given numbers is 2 x 223 x 369 = 164574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/164574

Therefore, the GCF of Fractions 3597/446,3357/738 is 3/164574

Least Common Multiple of 446,738 with GCF Formula

Least Common Multiple of 446,738 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 446,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,738) = 2

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

GCF(446,738) x common factors =2 x 1 = 2

LCM(446,738) = ( 446 × 738 ) / 2

LCM(446,738) = 329148 / 2

LCM(446,738) = 164574


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3597/446, 3357/738

1. What is the HCF of 3597,3357?

The HCF of 3597,3357 is 3

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 3597/446, 3357/738?

Answer: GCF of Numerators as per given numbers 3597/446, 3357/738 is

GCF of Numerators i.e. for 3597,3357 is 3

LCM of denominators i.e. for 446,738 is 164574.

Thus, GCF of Fractions is 3/164574.Finally, GCF of Fractions for 3597/446, 3357/738 is 3/164574.