How to Find GCF of 666/404, 161/868?

GCF of 666/404, 161/868

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 666/404, 161/868 i.e 1/87668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/404, 161/868.

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 666/404,161/868?

Given fractions are 666/404,161/868

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 666/404,161/868, numerators are 666,161

Denominators are 404,868

The GCF of 666,161 is 1 .

LCM of 404,868 is 87668.

The greatest common factor of 666/404,161/868 = [GCF of 666,161]/[LCM of 404,868]= 1/87668

Therefore, the GCF of 666/404,161/868 is 1/87668.

Greatest Common Factor of 666,161

To find the highest common factor of 666,161, we have to find the factors of both numbers and list the highest common factor.

The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

The factors of 161 are 1, 7, 23, 161

The HCF of 666,161 is 1.

Lets's calculate GCF of 666,161

Greatest Common Factor (GCF) of 666,161 By Common Division

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

Greatest Common Factor of 666,161 By Matching Biggest Common Factor Method

Now, list down the factors of 666

1,2,3,6,9,18,37,74,111,222,333,666

Now, list down the factors of 161

1,7,23,161

Greatest Common Factor

We found the factors 666,161 . The biggest common factor number is the GCF number.
So the greatest common factor 666,161 is 1.

Lets's calculate LCM of 404,868

Lowest Common Multiple of 404,868 using Common Division

2	404, 868
2	202, 434
	101, 217

∴ So the LCM of the given numbers is 2 x 2 x 101 x 217 = 87668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87668

Therefore, the GCF of Fractions 666/404,161/868 is 1/87668

Least Common Multiple of 404,868 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 404,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,868) = 4

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

GCF(404,868) x common factors =4 x 1 = 4

LCM(404,868) = ( 404 × 868 ) / 4

LCM(404,868) = 350672 / 4

LCM(404,868) = 87668

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FAQs on GCF of Fractions of 666/404, 161/868

1. What is the HCF of 666,161?

The HCF of 666,161 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 666/404, 161/868?

Answer: GCF of Numerators as per given numbers 666/404, 161/868 is

GCF of Numerators i.e. for 666,161 is 1

LCM of denominators i.e. for 404,868 is 87668.

Thus, GCF of Fractions is 1/87668.Finally, GCF of Fractions for 666/404, 161/868 is 1/87668.