How to Find GCF of 330/636, 638/666?

GCF of 330/636, 638/666

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 330/636, 638/666 i.e 22/70596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 330/636, 638/666.

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 330/636,638/666?

Given fractions are 330/636,638/666

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 330/636,638/666, numerators are 330,638

Denominators are 636,666

The GCF of 330,638 is 22 .

LCM of 636,666 is 70596.

The greatest common factor of 330/636,638/666 = [GCF of 330,638]/[LCM of 636,666]= 22/70596

Therefore, the GCF of 330/636,638/666 is 22/70596.

Greatest Common Factor of 330,638

To find the highest common factor of 330,638, we have to find the factors of both numbers and list the highest common factor.

The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638

The HCF of 330,638 is 22.

Lets's calculate GCF of 330,638

Greatest Common Factor (GCF) of 330,638 By Common Division

2	330, 638
11	165, 319
	15, 29

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 330,638 By Matching Biggest Common Factor Method

Now, list down the factors of 330

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Now, list down the factors of 638

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 330,638 . The biggest common factor number is the GCF number.
So the greatest common factor 330,638 is 22.

Lets's calculate LCM of 636,666

Lowest Common Multiple of 636,666 using Common Division

2	636, 666
3	318, 333
	106, 111

∴ So the LCM of the given numbers is 2 x 3 x 106 x 111 = 70596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/70596

Therefore, the GCF of Fractions 330/636,638/666 is 22/70596

Least Common Multiple of 636,666 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 636,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,666) = 6

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

GCF(636,666) x common factors =6 x 1 = 6

LCM(636,666) = ( 636 × 666 ) / 6

LCM(636,666) = 423576 / 6

LCM(636,666) = 70596

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FAQs on GCF of Fractions of 330/636, 638/666

1. What is the HCF of 330,638?

The HCF of 330,638 is 22

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 330/636, 638/666?

Answer: GCF of Numerators as per given numbers 330/636, 638/666 is

GCF of Numerators i.e. for 330,638 is 22

LCM of denominators i.e. for 636,666 is 70596.

Thus, GCF of Fractions is 22/70596.Finally, GCF of Fractions for 330/636, 638/666 is 22/70596.