GCD of 446, 205, 75, 967 Calculator

Given Input numbers are 446, 205, 75, 967

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 446, 205, 75, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 205, 75, 967 is 1.

Therefore, GCD of numbers 446, 205, 75, 967 is 1

Given Input Data is 446, 205, 75, 967

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 205 is 5 x 41

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 967 is 967

The above numbers do not have any common prime factor. So GCD is 1

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, 205) = 91430

GCD(446, 205) = ( 446 x 205 ) / 91430

GCD(446, 205) = 91430 / 91430

GCD(446, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 446, 205, 75, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 701, 44, 590
• GCD of 165, 537, 47, 941
• GCD of 464, 935, 21, 970
• GCD of 271, 725, 55, 722
• GCD of 253, 276, 25, 526

1. What is the GCD of 446, 205, 75, 967?

GCD of 446, 205, 75, 967 is 1

2. Where do I get the detailed procedure to find GCD of 446, 205, 75, 967?

You can find a detailed procedure to find GCD of 446, 205, 75, 967 on our page.

3. How to find GCD of 446, 205, 75, 967 on a calculator?

You can find the GCD of 446, 205, 75, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.