GCD of 145, 900, 590, 662 Calculator

Given Input numbers are 145, 900, 590, 662

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 145, 900, 590, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 900, 590, 662 is 1.

Therefore, GCD of numbers 145, 900, 590, 662 is 1

Given Input Data is 145, 900, 590, 662

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 590 is 2 x 5 x 59

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(145, 900) = 26100

GCD(145, 900) = ( 145 x 900 ) / 26100

GCD(145, 900) = 130500 / 26100

GCD(145, 900) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 590

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

LCM(5, 590) = 590

GCD(5, 590) = ( 5 x 590 ) / 590

GCD(5, 590) = 2950 / 590

GCD(5, 590) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 662

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

LCM(5, 662) = 3310

GCD(5, 662) = ( 5 x 662 ) / 3310

GCD(5, 662) = 3310 / 3310

GCD(5, 662) = 1

GCD of 145, 900, 590, 662 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 858, 425, 405
• GCD of 721, 797, 957, 172
• GCD of 240, 830, 781, 541
• GCD of 958, 866, 713, 633
• GCD of 578, 972, 141, 846

1. What is the GCD of 145, 900, 590, 662?

GCD of 145, 900, 590, 662 is 1

2. Where do I get the detailed procedure to find GCD of 145, 900, 590, 662?

You can find a detailed procedure to find GCD of 145, 900, 590, 662 on our page.

3. How to find GCD of 145, 900, 590, 662 on a calculator?

You can find the GCD of 145, 900, 590, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.