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GCF of 404/38, 213/5281

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 404/38, 213/5281 i.e 1/200678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/38, 213/5281.

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 404/38,213/5281?

Given fractions are 404/38,213/5281

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 404/38,213/5281, numerators are 404,213

Denominators are 38,5281

The GCF of 404,213 is 1 .

LCM of 38,5281 is 200678.

The greatest common factor of 404/38,213/5281 = [GCF of 404,213]/[LCM of 38,5281]= 1/200678

Therefore, the GCF of 404/38,213/5281 is 1/200678.

Greatest Common Factor of 404,213

To find the highest common factor of 404,213, we have to find the factors of both numbers and list the highest common factor.

The factors of 404 are 1, 2, 4, 101, 202, 404

The factors of 213 are 1, 3, 71, 213

The HCF of 404,213 is 1.

Lets's calculate GCF of 404,213

Greatest Common Factor (GCF) of 404,213 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 404,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,213 By Matching Biggest Common Factor Method

Now, list down the factors of 404

:

1,2,4,101,202,404

Now, list down the factors of 213

:

1,3,71,213

Greatest Common Factor

We found the factors 404,213 . The biggest common factor number is the GCF number.
So the greatest common factor 404,213 is 1.

Lets's calculate LCM of 38,5281

Lowest Common Multiple of 38,5281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 200678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200678

Therefore, the GCF of Fractions 404/38,213/5281 is 1/200678

Least Common Multiple of 38,5281 with GCF Formula

Least Common Multiple of 38,5281 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 38,5281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5281) = 1

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

GCF(38,5281) x common factors =1 x 1 = 1

LCM(38,5281) = ( 38 × 5281 ) / 1

LCM(38,5281) = 200678 / 1

LCM(38,5281) = 200678


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FAQs on GCF of Fractions of 404/38, 213/5281

1. What is the HCF of 404,213?

The HCF of 404,213 is 1

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 404/38, 213/5281?

Answer: GCF of Numerators as per given numbers 404/38, 213/5281 is

GCF of Numerators i.e. for 404,213 is 1

LCM of denominators i.e. for 38,5281 is 200678.

Thus, GCF of Fractions is 1/200678.Finally, GCF of Fractions for 404/38, 213/5281 is 1/200678.