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GCF of 666/20, 706/270

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 666/20, 706/270 i.e 2/540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/20, 706/270.

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 666/20,706/270?

Given fractions are 666/20,706/270

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 666/20,706/270, numerators are 666,706

Denominators are 20,270

The GCF of 666,706 is 2 .

LCM of 20,270 is 540.

The greatest common factor of 666/20,706/270 = [GCF of 666,706]/[LCM of 20,270]= 2/540

Therefore, the GCF of 666/20,706/270 is 2/540.

Greatest Common Factor of 666,706

To find the highest common factor of 666,706, 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 706 are 1, 2, 353, 706

The HCF of 666,706 is 2.

Lets's calculate GCF of 666,706

Greatest Common Factor (GCF) of 666,706 By Common Division

2 666, 706
333, 353

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 666,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,706 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 706

:

1,2,353,706

Greatest Common Factor

We found the factors 666,706 . The biggest common factor number is the GCF number.
So the greatest common factor 666,706 is 2.

Lets's calculate LCM of 20,270

Lowest Common Multiple of 20,270 using Common Division

2 20, 270
5 10, 135
2, 27

∴ So the LCM of the given numbers is 2 x 5 x 2 x 27 = 540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/540

Therefore, the GCF of Fractions 666/20,706/270 is 2/540

Least Common Multiple of 20,270 with GCF Formula

Least Common Multiple of 20,270 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 20,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,270) = 10

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

GCF(20,270) x common factors =10 x 1 = 10

LCM(20,270) = ( 20 × 270 ) / 10

LCM(20,270) = 5400 / 10

LCM(20,270) = 540


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FAQs on GCF of Fractions of 666/20, 706/270

1. What is the HCF of 666,706?

The HCF of 666,706 is 2

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 666/20, 706/270?

Answer: GCF of Numerators as per given numbers 666/20, 706/270 is

GCF of Numerators i.e. for 666,706 is 2

LCM of denominators i.e. for 20,270 is 540.

Thus, GCF of Fractions is 2/540.Finally, GCF of Fractions for 666/20, 706/270 is 2/540.