GCD of 59, 100, 790, 916 Calculator

Given Input numbers are 59, 100, 790, 916

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 59, 100, 790, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 100, 790, 916 is 1.

Therefore, GCD of numbers 59, 100, 790, 916 is 1

Given Input Data is 59, 100, 790, 916

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

Prime Factorization of 59 is 59

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 916 is 2 x 2 x 229

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(59, 100) = 5900

GCD(59, 100) = ( 59 x 100 ) / 5900

GCD(59, 100) = 5900 / 5900

GCD(59, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 59, 100, 790, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 686, 839, 370
• GCD of 44, 370, 208, 259
• GCD of 94, 142, 919, 392
• GCD of 28, 779, 457, 216
• GCD of 27, 208, 124, 312

1. What is the GCD of 59, 100, 790, 916?

GCD of 59, 100, 790, 916 is 1

2. Where do I get the detailed procedure to find GCD of 59, 100, 790, 916?

You can find a detailed procedure to find GCD of 59, 100, 790, 916 on our page.

3. How to find GCD of 59, 100, 790, 916 on a calculator?

You can find the GCD of 59, 100, 790, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.