Greatest Common Factor of 404/163, 446/545, 309/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 404/163, 446/545, 309/921

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 404/163,446/545,309/921

Given fractions are 404/163,446/545,309/921

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 404,446,309

Greatest Common Factor of Numerators i.e. GCF of 404,446,309 is 1 .

LCM of Denominators means LCM of 163,545,921 as per the given fractions.

LCM of 163,545,921 is 81817035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,446,309

GCF of Fractions 404/163,446/545,309/921 is 1/81817035

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

Greatest Common Factor of 404,446,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,446,309 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 404,446,309 . The biggest common factor number is the GCF number.
So the greatest common factor 404,446,309 is 1.


Lets's calculate LCM of 163,545,921

Given numbers has no common factors except 1. So, there LCM is their product i.e 81817035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81817035

Therefore, the GCF of Fractions 404/163,446/545,309/921 is 1/81817035

Least Common Multiple of 163,545,921 with GCF Formula

Least Common Multiple of 163,545,921 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 163,545,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,545,921) = 1

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

GCF(163,545,921) x common factors =1 x 1 = 1

LCM(163,545,921) = ( 163 × 545 × 921 ) / 1

LCM(163,545,921) = 81817035 / 1

LCM(163,545,921) = 81817035


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 404/163, 446/545, 309/921

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 404/163, 446/545, 309/921?

Answer: GCF of Numerators as per given numbers 404/163, 446/545, 309/921 is

GCF of Numerators i.e. for 404,446,309 is 1

LCM of denominators i.e. for 163,545,921 is 81817035.

Thus, GCF of Fractions is 1/81817035.Finally, GCF of Fractions for 404/163, 446/545, 309/921 is 1/81817035.