GCD of 361, 100, 59, 686 Calculator

Given Input numbers are 361, 100, 59, 686

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 59

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

1, 59

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 361, 100, 59, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 100, 59, 686 is 1.

Therefore, GCD of numbers 361, 100, 59, 686 is 1

Given Input Data is 361, 100, 59, 686

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

Prime Factorization of 361 is 19 x 19

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

Prime Factorization of 59 is 59

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(361, 100) = 36100

GCD(361, 100) = ( 361 x 100 ) / 36100

GCD(361, 100) = 36100 / 36100

GCD(361, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 361, 100, 59, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 761, 46, 304
• GCD of 108, 434, 58, 483
• GCD of 472, 966, 94, 624
• GCD of 351, 670, 12, 683
• GCD of 457, 243, 87, 214

1. What is the GCD of 361, 100, 59, 686?

GCD of 361, 100, 59, 686 is 1

2. Where do I get the detailed procedure to find GCD of 361, 100, 59, 686?

You can find a detailed procedure to find GCD of 361, 100, 59, 686 on our page.

3. How to find GCD of 361, 100, 59, 686 on a calculator?

You can find the GCD of 361, 100, 59, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.