GCD of 446, 550, 356, 960 Calculator

Given Input numbers are 446, 550, 356, 960

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 446

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

1, 2, 223, 446

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 446, 550, 356, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 550, 356, 960 is 2.

Therefore, GCD of numbers 446, 550, 356, 960 is 2

Given Input Data is 446, 550, 356, 960

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 446 is 2 x 223

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(446, 550) = 122650

GCD(446, 550) = ( 446 x 550 ) / 122650

GCD(446, 550) = 245300 / 122650

GCD(446, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 446, 550, 356, 960 is 2

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1. What is the GCD of 446, 550, 356, 960?

GCD of 446, 550, 356, 960 is 2

2. Where do I get the detailed procedure to find GCD of 446, 550, 356, 960?

You can find a detailed procedure to find GCD of 446, 550, 356, 960 on our page.

3. How to find GCD of 446, 550, 356, 960 on a calculator?

You can find the GCD of 446, 550, 356, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.