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GCF of 203/406, 766/666

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 203/406, 766/666 i.e 1/135198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 203/406, 766/666.

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 203/406,766/666?

Given fractions are 203/406,766/666

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 203/406,766/666, numerators are 203,766

Denominators are 406,666

The GCF of 203,766 is 1 .

LCM of 406,666 is 135198.

The greatest common factor of 203/406,766/666 = [GCF of 203,766]/[LCM of 406,666]= 1/135198

Therefore, the GCF of 203/406,766/666 is 1/135198.

Greatest Common Factor of 203,766

To find the highest common factor of 203,766, we have to find the factors of both numbers and list the highest common factor.

The factors of 203 are 1, 7, 29, 203

The factors of 766 are 1, 2, 383, 766

The HCF of 203,766 is 1.

Lets's calculate GCF of 203,766

Greatest Common Factor (GCF) of 203,766 By Common Division

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

Greatest Common Factor of 203,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,766 By Matching Biggest Common Factor Method

Now, list down the factors of 203

:

1,7,29,203

Now, list down the factors of 766

:

1,2,383,766

Greatest Common Factor

We found the factors 203,766 . The biggest common factor number is the GCF number.
So the greatest common factor 203,766 is 1.

Lets's calculate LCM of 406,666

Lowest Common Multiple of 406,666 using Common Division

2 406, 666
203, 333

∴ So the LCM of the given numbers is 2 x 203 x 333 = 135198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135198

Therefore, the GCF of Fractions 203/406,766/666 is 1/135198

Least Common Multiple of 406,666 with GCF Formula

Least Common Multiple of 406,666 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 406,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,666) = 2

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

GCF(406,666) x common factors =2 x 1 = 2

LCM(406,666) = ( 406 × 666 ) / 2

LCM(406,666) = 270396 / 2

LCM(406,666) = 135198


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FAQs on GCF of Fractions of 203/406, 766/666

1. What is the HCF of 203,766?

The HCF of 203,766 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 203/406, 766/666?

Answer: GCF of Numerators as per given numbers 203/406, 766/666 is

GCF of Numerators i.e. for 203,766 is 1

LCM of denominators i.e. for 406,666 is 135198.

Thus, GCF of Fractions is 1/135198.Finally, GCF of Fractions for 203/406, 766/666 is 1/135198.