GCD of 60, 789, 958, 512 Calculator

Given Input numbers are 60, 789, 958, 512

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 60, 789, 958, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 789, 958, 512 is 1.

Therefore, GCD of numbers 60, 789, 958, 512 is 1

Given Input Data is 60, 789, 958, 512

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 789 is 3 x 263

Prime Factorization of 958 is 2 x 479

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(60, 789) = 15780

GCD(60, 789) = ( 60 x 789 ) / 15780

GCD(60, 789) = 47340 / 15780

GCD(60, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 958

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

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

GCD(3, 958) = 2874 / 2874

GCD(3, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 60, 789, 958, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 175, 123, 593
• GCD of 89, 625, 358, 692
• GCD of 32, 388, 988, 695
• GCD of 59, 753, 955, 272
• GCD of 41, 147, 737, 220

1. What is the GCD of 60, 789, 958, 512?

GCD of 60, 789, 958, 512 is 1

2. Where do I get the detailed procedure to find GCD of 60, 789, 958, 512?

You can find a detailed procedure to find GCD of 60, 789, 958, 512 on our page.

3. How to find GCD of 60, 789, 958, 512 on a calculator?

You can find the GCD of 60, 789, 958, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.