GCD of 573, 972, 774, 516 Calculator

Given Input numbers are 573, 972, 774, 516

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

Divisors of 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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

GCD of numbers is the greatest common divisor

So, the GCD (573, 972, 774, 516) = 3.

Given numbers are 573, 972, 774, 516

The list of prime factors of all numbers are

Prime factors of 573 are 3 x 191

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

Prime factors of 774 are 2 x 3 x 3 x 43

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

The highest common occurrence is 3¹

Therefore, GCD of 573, 972, 774, 516 is 3.

Given numbers are 573, 972, 774, 516

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

Apply this formula for all numbers.

Step1:

LCM(573, 972) = 185652

GCD(573, 972) = ( 573 x 972 ) / 185652

= 573 / 972

= 573

Step2:

LCM(3, 774) = 774

GCD(3, 774) = ( 3 x 774 ) / 774

= 3 / 774

= 3

Step3:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

So, Greatest Common Divisor of 573, 972, 774, 516 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 431, 668, 104
• GCD of 546, 873, 904, 630
• GCD of 454, 342, 791, 522
• GCD of 343, 649, 235, 756
• GCD of 360, 395, 392, 540

Given numbers are 573, 972, 774, 516
The greatest common divisor of numbers 573, 972, 774, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 573, 972, 774, 516 is 3.

1. What is the GCD of 573, 972, 774, 516?

GCD of given numbers 573, 972, 774, 516 is 3

2. How to calculate the greatest common divisor of 573, 972, 774, 516?

We can find the highest common divisor of 573, 972, 774, 516 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 573, 972, 774, 516 i.e 3.

3. How can I use the GCD of 573, 972, 774, 516Calculator?

Out the numbers 573, 972, 774, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.