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GCF of 666/29, 370/956

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 666/29, 370/956 i.e 74/27724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/29, 370/956.

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 666/29,370/956?

Given fractions are 666/29,370/956

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 666/29,370/956, numerators are 666,370

Denominators are 29,956

The GCF of 666,370 is 74 .

LCM of 29,956 is 27724.

The greatest common factor of 666/29,370/956 = [GCF of 666,370]/[LCM of 29,956]= 74/27724

Therefore, the GCF of 666/29,370/956 is 74/27724.

Greatest Common Factor of 666,370

To find the highest common factor of 666,370, 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 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 666,370 is 74.

Lets's calculate GCF of 666,370

Greatest Common Factor (GCF) of 666,370 By Common Division

2 666, 370
37 333, 185
9, 5

∴ So the GCF of the given numbers is 2 x 37 = 74

Greatest Common Factor of 666,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,370 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 370

:

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 666,370 . The biggest common factor number is the GCF number.
So the greatest common factor 666,370 is 74.

Lets's calculate LCM of 29,956

Lowest Common Multiple of 29,956 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/27724

Therefore, the GCF of Fractions 666/29,370/956 is 74/27724

Least Common Multiple of 29,956 with GCF Formula

Least Common Multiple of 29,956 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 29,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,956) = 1

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

GCF(29,956) x common factors =1 x 1 = 1

LCM(29,956) = ( 29 × 956 ) / 1

LCM(29,956) = 27724 / 1

LCM(29,956) = 27724


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FAQs on GCF of Fractions of 666/29, 370/956

1. What is the HCF of 666,370?

The HCF of 666,370 is 74

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 666/29, 370/956?

Answer: GCF of Numerators as per given numbers 666/29, 370/956 is

GCF of Numerators i.e. for 666,370 is 74

LCM of denominators i.e. for 29,956 is 27724.

Thus, GCF of Fractions is 74/27724.Finally, GCF of Fractions for 666/29, 370/956 is 74/27724.