GCD of 585, 650, 742, 529 Calculator

Given Input numbers are 585, 650, 742, 529

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

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529

GCD of numbers is the greatest common divisor

So, the GCD (585, 650, 742, 529) = 1.

Given numbers are 585, 650, 742, 529

The list of prime factors of all numbers are

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

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 742 are 2 x 7 x 53

Prime factors of 529 are 23 x 23

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

Given numbers are 585, 650, 742, 529

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

Apply this formula for all numbers.

Step1:

LCM(585, 650) = 5850

GCD(585, 650) = ( 585 x 650 ) / 5850

= 585 / 650

= 585

Step2:

LCM(65, 742) = 48230

GCD(65, 742) = ( 65 x 742 ) / 48230

= 65 / 742

= 65

Step3:

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

= 1 / 529

= 1

So, Greatest Common Divisor of 585, 650, 742, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 649, 579, 607
• GCD of 132, 324, 838, 255
• GCD of 601, 253, 395, 939
• GCD of 109, 928, 258, 856
• GCD of 279, 739, 282, 472

Given numbers are 585, 650, 742, 529
The greatest common divisor of numbers 585, 650, 742, 529 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 650, 742, 529 is 1.

1. What is the GCD of 585, 650, 742, 529?

GCD of given numbers 585, 650, 742, 529 is 1

2. How to calculate the greatest common divisor of 585, 650, 742, 529?

We can find the highest common divisor of 585, 650, 742, 529 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 585, 650, 742, 529 i.e 1.

3. How can I use the GCD of 585, 650, 742, 529Calculator?

Out the numbers 585, 650, 742, 529 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.