GCD of 90, 788, 600, 249 Calculator

Given Input numbers are 90, 788, 600, 249

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 90, 788, 600, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 788, 600, 249 is 1.

Therefore, GCD of numbers 90, 788, 600, 249 is 1

Given Input Data is 90, 788, 600, 249

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 249 is 3 x 83

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(90, 788) = 35460

GCD(90, 788) = ( 90 x 788 ) / 35460

GCD(90, 788) = 70920 / 35460

GCD(90, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 249

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

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

GCD(2, 249) = 498 / 498

GCD(2, 249) = 1

GCD of 90, 788, 600, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 379, 786, 813
• GCD of 83, 288, 150, 391
• GCD of 32, 924, 248, 768
• GCD of 19, 799, 857, 219
• GCD of 66, 480, 374, 974

1. What is the GCD of 90, 788, 600, 249?

GCD of 90, 788, 600, 249 is 1

2. Where do I get the detailed procedure to find GCD of 90, 788, 600, 249?

You can find a detailed procedure to find GCD of 90, 788, 600, 249 on our page.

3. How to find GCD of 90, 788, 600, 249 on a calculator?

You can find the GCD of 90, 788, 600, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.