GCD of 150, 493, 77, 780 Calculator

Given Input numbers are 150, 493, 77, 780

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 150, 493, 77, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 493, 77, 780 is 1.

Therefore, GCD of numbers 150, 493, 77, 780 is 1

Given Input Data is 150, 493, 77, 780

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 493 is 17 x 29

Prime Factorization of 77 is 7 x 11

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(150, 493) = 73950

GCD(150, 493) = ( 150 x 493 ) / 73950

GCD(150, 493) = 73950 / 73950

GCD(150, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 150, 493, 77, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 488, 65, 418
• GCD of 347, 262, 61, 897
• GCD of 693, 653, 31, 657
• GCD of 573, 421, 43, 192
• GCD of 675, 421, 55, 365

1. What is the GCD of 150, 493, 77, 780?

GCD of 150, 493, 77, 780 is 1

2. Where do I get the detailed procedure to find GCD of 150, 493, 77, 780?

You can find a detailed procedure to find GCD of 150, 493, 77, 780 on our page.

3. How to find GCD of 150, 493, 77, 780 on a calculator?

You can find the GCD of 150, 493, 77, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.