GCD of 901, 578, 37, 662 Calculator

Given Input numbers are 901, 578, 37, 662

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 901, 578, 37, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 578, 37, 662 is 1.

Therefore, GCD of numbers 901, 578, 37, 662 is 1

Given Input Data is 901, 578, 37, 662

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 37 is 37

Prime Factorization of 662 is 2 x 331

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(901, 578) = 30634

GCD(901, 578) = ( 901 x 578 ) / 30634

GCD(901, 578) = 520778 / 30634

GCD(901, 578) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 37

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

LCM(17, 37) = 629

GCD(17, 37) = ( 17 x 37 ) / 629

GCD(17, 37) = 629 / 629

GCD(17, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

GCD of 901, 578, 37, 662 is 1

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1. What is the GCD of 901, 578, 37, 662?

GCD of 901, 578, 37, 662 is 1

2. Where do I get the detailed procedure to find GCD of 901, 578, 37, 662?

You can find a detailed procedure to find GCD of 901, 578, 37, 662 on our page.

3. How to find GCD of 901, 578, 37, 662 on a calculator?

You can find the GCD of 901, 578, 37, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.