How to Find GCF of 2821/604, 4121/6622?

GCF of 2821/604, 4121/6622

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 2821/604, 4121/6622 i.e 13/1999844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2821/604, 4121/6622.

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 2821/604,4121/6622?

Given fractions are 2821/604,4121/6622

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 2821/604,4121/6622, numerators are 2821,4121

Denominators are 604,6622

The GCF of 2821,4121 is 13 .

LCM of 604,6622 is 1999844.

The greatest common factor of 2821/604,4121/6622 = [GCF of 2821,4121]/[LCM of 604,6622]= 13/1999844

Therefore, the GCF of 2821/604,4121/6622 is 13/1999844.

Greatest Common Factor of 2821,4121

To find the highest common factor of 2821,4121, we have to find the factors of both numbers and list the highest common factor.

The factors of 2821 are 1, 7, 13, 31, 91, 217, 403, 2821

The factors of 4121 are 1, 13, 317, 4121

The HCF of 2821,4121 is 13.

Lets's calculate GCF of 2821,4121

Greatest Common Factor (GCF) of 2821,4121 By Common Division

13	2821, 4121
	217, 317

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2821,4121 By Matching Biggest Common Factor Method

Now, list down the factors of 2821

1,7,13,31,91,217,403,2821

Now, list down the factors of 4121

1,13,317,4121

Greatest Common Factor

We found the factors 2821,4121 . The biggest common factor number is the GCF number.
So the greatest common factor 2821,4121 is 13.

Lets's calculate LCM of 604,6622

Lowest Common Multiple of 604,6622 using Common Division

2	604, 6622
	302, 3311

∴ So the LCM of the given numbers is 2 x 302 x 3311 = 1999844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1999844

Therefore, the GCF of Fractions 2821/604,4121/6622 is 13/1999844

Least Common Multiple of 604,6622 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 604,6622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,6622) = 2

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

GCF(604,6622) x common factors =2 x 1 = 2

LCM(604,6622) = ( 604 × 6622 ) / 2

LCM(604,6622) = 3999688 / 2

LCM(604,6622) = 1999844

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FAQs on GCF of Fractions of 2821/604, 4121/6622

1. What is the HCF of 2821,4121?

The HCF of 2821,4121 is 13

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 2821/604, 4121/6622?

Answer: GCF of Numerators as per given numbers 2821/604, 4121/6622 is

GCF of Numerators i.e. for 2821,4121 is 13

LCM of denominators i.e. for 604,6622 is 1999844.

Thus, GCF of Fractions is 13/1999844.Finally, GCF of Fractions for 2821/604, 4121/6622 is 13/1999844.