GCD of 353, 450, 32, 100 Calculator

Given Input numbers are 353, 450, 32, 100

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 353, 450, 32, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 450, 32, 100 is 1.

Therefore, GCD of numbers 353, 450, 32, 100 is 1

Given Input Data is 353, 450, 32, 100

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

Prime Factorization of 353 is 353

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(353, 450) = 158850

GCD(353, 450) = ( 353 x 450 ) / 158850

GCD(353, 450) = 158850 / 158850

GCD(353, 450) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 353, 450, 32, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 168, 28, 935
• GCD of 186, 939, 75, 446
• GCD of 394, 245, 50, 125
• GCD of 507, 941, 17, 660
• GCD of 609, 107, 23, 882

1. What is the GCD of 353, 450, 32, 100?

GCD of 353, 450, 32, 100 is 1

2. Where do I get the detailed procedure to find GCD of 353, 450, 32, 100?

You can find a detailed procedure to find GCD of 353, 450, 32, 100 on our page.

3. How to find GCD of 353, 450, 32, 100 on a calculator?

You can find the GCD of 353, 450, 32, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.