How to Find GCF of 21/400, 8841/8394?

GCF of 21/400, 8841/8394

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 21/400, 8841/8394 i.e 21/1678800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/400, 8841/8394.

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 21/400,8841/8394?

Given fractions are 21/400,8841/8394

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 21/400,8841/8394, numerators are 21,8841

Denominators are 400,8394

The GCF of 21,8841 is 21 .

LCM of 400,8394 is 1678800.

The greatest common factor of 21/400,8841/8394 = [GCF of 21,8841]/[LCM of 400,8394]= 21/1678800

Therefore, the GCF of 21/400,8841/8394 is 21/1678800.

Greatest Common Factor of 21,8841

To find the highest common factor of 21,8841, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841

The HCF of 21,8841 is 21.

Lets's calculate GCF of 21,8841

Greatest Common Factor (GCF) of 21,8841 By Common Division

3	21, 8841
7	7, 2947
	1, 421

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 21,8841 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 8841

1,3,7,21,421,1263,2947,8841

Greatest Common Factor

We found the factors 21,8841 . The biggest common factor number is the GCF number.
So the greatest common factor 21,8841 is 21.

Lets's calculate LCM of 400,8394

Lowest Common Multiple of 400,8394 using Common Division

2	400, 8394
	200, 4197

∴ So the LCM of the given numbers is 2 x 200 x 4197 = 1678800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1678800

Therefore, the GCF of Fractions 21/400,8841/8394 is 21/1678800

Least Common Multiple of 400,8394 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 400,8394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,8394) = 2

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

GCF(400,8394) x common factors =2 x 1 = 2

LCM(400,8394) = ( 400 × 8394 ) / 2

LCM(400,8394) = 3357600 / 2

LCM(400,8394) = 1678800

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FAQs on GCF of Fractions of 21/400, 8841/8394

1. What is the HCF of 21,8841?

The HCF of 21,8841 is 21

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 21/400, 8841/8394?

Answer: GCF of Numerators as per given numbers 21/400, 8841/8394 is

GCF of Numerators i.e. for 21,8841 is 21

LCM of denominators i.e. for 400,8394 is 1678800.

Thus, GCF of Fractions is 21/1678800.Finally, GCF of Fractions for 21/400, 8841/8394 is 21/1678800.