GCD of 516, 825, 583, 738 Calculator

Given Input numbers are 516, 825, 583, 738

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (516, 825, 583, 738) = 1.

Given numbers are 516, 825, 583, 738

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 583 are 11 x 53

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 516, 825, 583, 738

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

Apply this formula for all numbers.

Step1:

LCM(516, 825) = 141900

GCD(516, 825) = ( 516 x 825 ) / 141900

= 516 / 825

= 516

Step2:

LCM(3, 583) = 1749

GCD(3, 583) = ( 3 x 583 ) / 1749

= 3 / 583

= 3

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 516, 825, 583, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 679, 725, 588
• GCD of 526, 904, 272, 122
• GCD of 978, 738, 118, 835
• GCD of 575, 624, 609, 800
• GCD of 367, 781, 302, 266

Given numbers are 516, 825, 583, 738
The greatest common divisor of numbers 516, 825, 583, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 825, 583, 738 is 1.

1. What is the GCD of 516, 825, 583, 738?

GCD of given numbers 516, 825, 583, 738 is 1

2. How to calculate the greatest common divisor of 516, 825, 583, 738?

We can find the highest common divisor of 516, 825, 583, 738 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 516, 825, 583, 738 i.e 1.

3. How can I use the GCD of 516, 825, 583, 738Calculator?

Out the numbers 516, 825, 583, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.