GCD of 15, 707, 688, 589 Calculator

Given Input numbers are 15, 707, 688, 589

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 15, 707, 688, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 707, 688, 589 is 1.

Therefore, GCD of numbers 15, 707, 688, 589 is 1

Given Input Data is 15, 707, 688, 589

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 707 is 7 x 101

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 589 is 19 x 31

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(15, 707) = 10605

GCD(15, 707) = ( 15 x 707 ) / 10605

GCD(15, 707) = 10605 / 10605

GCD(15, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 15, 707, 688, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 287, 787, 612
• GCD of 39, 543, 402, 420
• GCD of 46, 245, 550, 464
• GCD of 87, 700, 251, 195
• GCD of 43, 623, 778, 826

1. What is the GCD of 15, 707, 688, 589?

GCD of 15, 707, 688, 589 is 1

2. Where do I get the detailed procedure to find GCD of 15, 707, 688, 589?

You can find a detailed procedure to find GCD of 15, 707, 688, 589 on our page.

3. How to find GCD of 15, 707, 688, 589 on a calculator?

You can find the GCD of 15, 707, 688, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.