Greatest Common Factor of 441/10, 622/12, 398/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/10, 622/12, 398/367

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 441/10,622/12,398/367

Given fractions are 441/10,622/12,398/367

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 441,622,398

Greatest Common Factor of Numerators i.e. GCF of 441,622,398 is 1 .

LCM of Denominators means LCM of 10,12,367 as per the given fractions.

LCM of 10,12,367 is 22020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,622,398

GCF of Fractions 441/10,622/12,398/367 is 1/22020

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

Greatest Common Factor of 441,622,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,622,398 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 441,622,398 . The biggest common factor number is the GCF number.
So the greatest common factor 441,622,398 is 1.

Lets's calculate LCM of 10,12,367

2 10, 12, 367
5, 6, 367

∴ So the LCM of the given numbers is 2 x 5 x 6 x 367 = 22020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22020

Therefore, the GCF of Fractions 441/10,622/12,398/367 is 1/22020

Least Common Multiple of 10,12,367 with GCF Formula

Least Common Multiple of 10,12,367 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 10,12,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,12,367) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,12,367) x common factors =1 x 2 = 2

LCM(10,12,367) = ( 10 × 12 × 367 ) / 2

LCM(10,12,367) = 44040 / 2

LCM(10,12,367) = 22020


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 441/10, 622/12, 398/367

1. 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.

2. What is the GCF of Fractions for 441/10, 622/12, 398/367?

Answer: GCF of Numerators as per given numbers 441/10, 622/12, 398/367 is

GCF of Numerators i.e. for 441,622,398 is 1

LCM of denominators i.e. for 10,12,367 is 22020.

Thus, GCF of Fractions is 1/22020.Finally, GCF of Fractions for 441/10, 622/12, 398/367 is 1/22020.