GCD of 120, 591, 598, 820 Calculator

Given Input numbers are 120, 591, 598, 820

In the factoring method, we have to find the divisors of all numbers

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (120, 591, 598, 820) = 1.

Given numbers are 120, 591, 598, 820

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 591 are 3 x 197

Prime factors of 598 are 2 x 13 x 23

Prime factors of 820 are 2 x 2 x 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 591, 598, 820

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(120, 591) = 23640

GCD(120, 591) = ( 120 x 591 ) / 23640

= 120 / 591

= 120

Step2:

LCM(3, 598) = 1794

GCD(3, 598) = ( 3 x 598 ) / 1794

= 3 / 598

= 3

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 120, 591, 598, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 131, 110, 980
• GCD of 618, 921, 995, 143
• GCD of 497, 407, 631, 927
• GCD of 323, 656, 777, 945
• GCD of 659, 368, 144, 311

Given numbers are 120, 591, 598, 820
The greatest common divisor of numbers 120, 591, 598, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 591, 598, 820 is 1.

1. What is the GCD of 120, 591, 598, 820?

GCD of given numbers 120, 591, 598, 820 is 1

2. How to calculate the greatest common divisor of 120, 591, 598, 820?

We can find the highest common divisor of 120, 591, 598, 820 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 120, 591, 598, 820 i.e 1.

3. How can I use the GCD of 120, 591, 598, 820Calculator?

Out the numbers 120, 591, 598, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.