GCD of 598, 585, 470, 972 Calculator

Given Input numbers are 598, 585, 470, 972

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

Divisors of 598 :

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

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (598, 585, 470, 972) = 1.

Given numbers are 598, 585, 470, 972

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 470 are 2 x 5 x 47

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 598, 585, 470, 972

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

Apply this formula for all numbers.

Step1:

LCM(598, 585) = 26910

GCD(598, 585) = ( 598 x 585 ) / 26910

= 598 / 585

= 598

Step2:

LCM(13, 470) = 6110

GCD(13, 470) = ( 13 x 470 ) / 6110

= 13 / 470

= 13

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 598, 585, 470, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 246, 515, 562
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Given numbers are 598, 585, 470, 972
The greatest common divisor of numbers 598, 585, 470, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 585, 470, 972 is 1.

1. What is the GCD of 598, 585, 470, 972?

GCD of given numbers 598, 585, 470, 972 is 1

2. How to calculate the greatest common divisor of 598, 585, 470, 972?

We can find the highest common divisor of 598, 585, 470, 972 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 598, 585, 470, 972 i.e 1.

3. How can I use the GCD of 598, 585, 470, 972Calculator?

Out the numbers 598, 585, 470, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.