How to Find GCF of 3004/666, 3201/6013?

GCF of 3004/666, 3201/6013

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 3004/666, 3201/6013 i.e 1/4004658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3004/666, 3201/6013.

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 3004/666,3201/6013?

Given fractions are 3004/666,3201/6013

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 3004/666,3201/6013, numerators are 3004,3201

Denominators are 666,6013

The GCF of 3004,3201 is 1 .

LCM of 666,6013 is 4004658.

The greatest common factor of 3004/666,3201/6013 = [GCF of 3004,3201]/[LCM of 666,6013]= 1/4004658

Therefore, the GCF of 3004/666,3201/6013 is 1/4004658.

Greatest Common Factor of 3004,3201

To find the highest common factor of 3004,3201, we have to find the factors of both numbers and list the highest common factor.

The factors of 3004 are 1, 2, 4, 751, 1502, 3004

The factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201

The HCF of 3004,3201 is 1.

Lets's calculate GCF of 3004,3201

Greatest Common Factor (GCF) of 3004,3201 By Common Division

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

Greatest Common Factor of 3004,3201 By Matching Biggest Common Factor Method

Now, list down the factors of 3004

1,2,4,751,1502,3004

Now, list down the factors of 3201

1,3,11,33,97,291,1067,3201

Greatest Common Factor

We found the factors 3004,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 3004,3201 is 1.

Lets's calculate LCM of 666,6013

Lowest Common Multiple of 666,6013 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4004658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4004658

Therefore, the GCF of Fractions 3004/666,3201/6013 is 1/4004658

Least Common Multiple of 666,6013 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 666,6013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,6013) = 1

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

GCF(666,6013) x common factors =1 x 1 = 1

LCM(666,6013) = ( 666 × 6013 ) / 1

LCM(666,6013) = 4004658 / 1

LCM(666,6013) = 4004658

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FAQs on GCF of Fractions of 3004/666, 3201/6013

1. What is the HCF of 3004,3201?

The HCF of 3004,3201 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 3004/666, 3201/6013?

Answer: GCF of Numerators as per given numbers 3004/666, 3201/6013 is

GCF of Numerators i.e. for 3004,3201 is 1

LCM of denominators i.e. for 666,6013 is 4004658.

Thus, GCF of Fractions is 1/4004658.Finally, GCF of Fractions for 3004/666, 3201/6013 is 1/4004658.