GCD of 75, 659, 120, 588 Calculator

Given Input numbers are 75, 659, 120, 588

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 75, 659, 120, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 659, 120, 588 is 1.

Therefore, GCD of numbers 75, 659, 120, 588 is 1

Given Input Data is 75, 659, 120, 588

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 659 is 659

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 588 is 2 x 2 x 3 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(75, 659) = 49425

GCD(75, 659) = ( 75 x 659 ) / 49425

GCD(75, 659) = 49425 / 49425

GCD(75, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 75, 659, 120, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 745, 268, 879
• GCD of 78, 347, 327, 361
• GCD of 76, 821, 830, 574
• GCD of 87, 389, 900, 632
• GCD of 21, 321, 534, 504

1. What is the GCD of 75, 659, 120, 588?

GCD of 75, 659, 120, 588 is 1

2. Where do I get the detailed procedure to find GCD of 75, 659, 120, 588?

You can find a detailed procedure to find GCD of 75, 659, 120, 588 on our page.

3. How to find GCD of 75, 659, 120, 588 on a calculator?

You can find the GCD of 75, 659, 120, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.