GCD of 450, 613, 42, 101 Calculator

Given Input numbers are 450, 613, 42, 101

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 450, 613, 42, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 613, 42, 101 is 1.

Therefore, GCD of numbers 450, 613, 42, 101 is 1

Given Input Data is 450, 613, 42, 101

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 613 is 613

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 101 is 101

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(450, 613) = 275850

GCD(450, 613) = ( 450 x 613 ) / 275850

GCD(450, 613) = 275850 / 275850

GCD(450, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 450, 613, 42, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 225, 94, 618
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• GCD of 909, 765, 27, 974
• GCD of 518, 738, 57, 730

1. What is the GCD of 450, 613, 42, 101?

GCD of 450, 613, 42, 101 is 1

2. Where do I get the detailed procedure to find GCD of 450, 613, 42, 101?

You can find a detailed procedure to find GCD of 450, 613, 42, 101 on our page.

3. How to find GCD of 450, 613, 42, 101 on a calculator?

You can find the GCD of 450, 613, 42, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.