How to Find GCF of 22/406, 3993/2027?

GCF of 22/406, 3993/2027

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 22/406, 3993/2027 i.e 11/822962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/406, 3993/2027.

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 22/406,3993/2027?

Given fractions are 22/406,3993/2027

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 22/406,3993/2027, numerators are 22,3993

Denominators are 406,2027

The GCF of 22,3993 is 11 .

LCM of 406,2027 is 822962.

The greatest common factor of 22/406,3993/2027 = [GCF of 22,3993]/[LCM of 406,2027]= 11/822962

Therefore, the GCF of 22/406,3993/2027 is 11/822962.

Greatest Common Factor of 22,3993

To find the highest common factor of 22,3993, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993

The HCF of 22,3993 is 11.

Lets's calculate GCF of 22,3993

Greatest Common Factor (GCF) of 22,3993 By Common Division

11	22, 3993
	2, 363

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 22,3993 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 3993

1,3,11,33,121,363,1331,3993

Greatest Common Factor

We found the factors 22,3993 . The biggest common factor number is the GCF number.
So the greatest common factor 22,3993 is 11.

Lets's calculate LCM of 406,2027

Lowest Common Multiple of 406,2027 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 822962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/822962

Therefore, the GCF of Fractions 22/406,3993/2027 is 11/822962

Least Common Multiple of 406,2027 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 406,2027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,2027) = 1

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

GCF(406,2027) x common factors =1 x 1 = 1

LCM(406,2027) = ( 406 × 2027 ) / 1

LCM(406,2027) = 822962 / 1

LCM(406,2027) = 822962

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FAQs on GCF of Fractions of 22/406, 3993/2027

1. What is the HCF of 22,3993?

The HCF of 22,3993 is 11

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 22/406, 3993/2027?

Answer: GCF of Numerators as per given numbers 22/406, 3993/2027 is

GCF of Numerators i.e. for 22,3993 is 11

LCM of denominators i.e. for 406,2027 is 822962.

Thus, GCF of Fractions is 11/822962.Finally, GCF of Fractions for 22/406, 3993/2027 is 11/822962.