How to Find GCF of 462/399, 841/404?

GCF of 462/399, 841/404

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 462/399, 841/404 i.e 1/161196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/399, 841/404.

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 462/399,841/404?

Given fractions are 462/399,841/404

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 462/399,841/404, numerators are 462,841

Denominators are 399,404

The GCF of 462,841 is 1 .

LCM of 399,404 is 161196.

The greatest common factor of 462/399,841/404 = [GCF of 462,841]/[LCM of 399,404]= 1/161196

Therefore, the GCF of 462/399,841/404 is 1/161196.

Greatest Common Factor of 462,841

To find the highest common factor of 462,841, we have to find the factors of both numbers and list the highest common factor.

The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

The factors of 841 are 1, 29, 841

The HCF of 462,841 is 1.

Lets's calculate GCF of 462,841

Greatest Common Factor (GCF) of 462,841 By Common Division

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

Greatest Common Factor of 462,841 By Matching Biggest Common Factor Method

Now, list down the factors of 462

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Now, list down the factors of 841

1,29,841

Greatest Common Factor

We found the factors 462,841 . The biggest common factor number is the GCF number.
So the greatest common factor 462,841 is 1.

Lets's calculate LCM of 399,404

Lowest Common Multiple of 399,404 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 161196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161196

Therefore, the GCF of Fractions 462/399,841/404 is 1/161196

Least Common Multiple of 399,404 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 399,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,404) = 1

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

GCF(399,404) x common factors =1 x 1 = 1

LCM(399,404) = ( 399 × 404 ) / 1

LCM(399,404) = 161196 / 1

LCM(399,404) = 161196

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FAQs on GCF of Fractions of 462/399, 841/404

1. What is the HCF of 462,841?

The HCF of 462,841 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 462/399, 841/404?

Answer: GCF of Numerators as per given numbers 462/399, 841/404 is

GCF of Numerators i.e. for 462,841 is 1

LCM of denominators i.e. for 399,404 is 161196.

Thus, GCF of Fractions is 1/161196.Finally, GCF of Fractions for 462/399, 841/404 is 1/161196.