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GCF of 666/50, 659/814

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 666/50, 659/814 i.e 1/20350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/50, 659/814.

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 666/50,659/814?

Given fractions are 666/50,659/814

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 666/50,659/814, numerators are 666,659

Denominators are 50,814

The GCF of 666,659 is 1 .

LCM of 50,814 is 20350.

The greatest common factor of 666/50,659/814 = [GCF of 666,659]/[LCM of 50,814]= 1/20350

Therefore, the GCF of 666/50,659/814 is 1/20350.

Greatest Common Factor of 666,659

To find the highest common factor of 666,659, 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 659 are 1, 659

The HCF of 666,659 is 1.

Lets's calculate GCF of 666,659

Greatest Common Factor (GCF) of 666,659 By Common Division

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

Greatest Common Factor of 666,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,659 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 659

:

1,659

Greatest Common Factor

We found the factors 666,659 . The biggest common factor number is the GCF number.
So the greatest common factor 666,659 is 1.

Lets's calculate LCM of 50,814

Lowest Common Multiple of 50,814 using Common Division

2 50, 814
25, 407

∴ So the LCM of the given numbers is 2 x 25 x 407 = 20350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20350

Therefore, the GCF of Fractions 666/50,659/814 is 1/20350

Least Common Multiple of 50,814 with GCF Formula

Least Common Multiple of 50,814 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 50,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,814) = 2

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

GCF(50,814) x common factors =2 x 1 = 2

LCM(50,814) = ( 50 × 814 ) / 2

LCM(50,814) = 40700 / 2

LCM(50,814) = 20350


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FAQs on GCF of Fractions of 666/50, 659/814

1. What is the HCF of 666,659?

The HCF of 666,659 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 666/50, 659/814?

Answer: GCF of Numerators as per given numbers 666/50, 659/814 is

GCF of Numerators i.e. for 666,659 is 1

LCM of denominators i.e. for 50,814 is 20350.

Thus, GCF of Fractions is 1/20350.Finally, GCF of Fractions for 666/50, 659/814 is 1/20350.