GCD of 450, 158, 10, 584 Calculator

Given Input numbers are 450, 158, 10, 584

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 450, 158, 10, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 158, 10, 584 is 2.

Therefore, GCD of numbers 450, 158, 10, 584 is 2

Given Input Data is 450, 158, 10, 584

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 158 is 2 x 79

Prime Factorization of 10 is 2 x 5

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(450, 158) = 35550

GCD(450, 158) = ( 450 x 158 ) / 35550

GCD(450, 158) = 71100 / 35550

GCD(450, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

GCD of 450, 158, 10, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 705, 94, 907
• GCD of 884, 992, 13, 135
• GCD of 453, 792, 79, 444
• GCD of 269, 754, 27, 137
• GCD of 673, 296, 68, 545

1. What is the GCD of 450, 158, 10, 584?

GCD of 450, 158, 10, 584 is 2

2. Where do I get the detailed procedure to find GCD of 450, 158, 10, 584?

You can find a detailed procedure to find GCD of 450, 158, 10, 584 on our page.

3. How to find GCD of 450, 158, 10, 584 on a calculator?

You can find the GCD of 450, 158, 10, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.