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GCF of 667/204, 301/690

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 667/204, 301/690 i.e 1/23460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 667/204, 301/690.

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 667/204,301/690?

Given fractions are 667/204,301/690

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 667/204,301/690, numerators are 667,301

Denominators are 204,690

The GCF of 667,301 is 1 .

LCM of 204,690 is 23460.

The greatest common factor of 667/204,301/690 = [GCF of 667,301]/[LCM of 204,690]= 1/23460

Therefore, the GCF of 667/204,301/690 is 1/23460.

Greatest Common Factor of 667,301

To find the highest common factor of 667,301, we have to find the factors of both numbers and list the highest common factor.

The factors of 667 are 1, 23, 29, 667

The factors of 301 are 1, 7, 43, 301

The HCF of 667,301 is 1.

Lets's calculate GCF of 667,301

Greatest Common Factor (GCF) of 667,301 By Common Division

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

Greatest Common Factor of 667,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,301 By Matching Biggest Common Factor Method

Now, list down the factors of 667

:

1,23,29,667

Now, list down the factors of 301

:

1,7,43,301

Greatest Common Factor

We found the factors 667,301 . The biggest common factor number is the GCF number.
So the greatest common factor 667,301 is 1.

Lets's calculate LCM of 204,690

Lowest Common Multiple of 204,690 using Common Division

2 204, 690
3 102, 345
34, 115

∴ So the LCM of the given numbers is 2 x 3 x 34 x 115 = 23460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23460

Therefore, the GCF of Fractions 667/204,301/690 is 1/23460

Least Common Multiple of 204,690 with GCF Formula

Least Common Multiple of 204,690 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 204,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,690) = 6

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

GCF(204,690) x common factors =6 x 1 = 6

LCM(204,690) = ( 204 × 690 ) / 6

LCM(204,690) = 140760 / 6

LCM(204,690) = 23460


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FAQs on GCF of Fractions of 667/204, 301/690

1. What is the HCF of 667,301?

The HCF of 667,301 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 667/204, 301/690?

Answer: GCF of Numerators as per given numbers 667/204, 301/690 is

GCF of Numerators i.e. for 667,301 is 1

LCM of denominators i.e. for 204,690 is 23460.

Thus, GCF of Fractions is 1/23460.Finally, GCF of Fractions for 667/204, 301/690 is 1/23460.