GCD of 564, 874, 216, 981 Calculator

Given Input numbers are 564, 874, 216, 981

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (564, 874, 216, 981) = 1.

Given numbers are 564, 874, 216, 981

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 874 are 2 x 19 x 23

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 981 are 3 x 3 x 109

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

Given numbers are 564, 874, 216, 981

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

Apply this formula for all numbers.

Step1:

LCM(564, 874) = 246468

GCD(564, 874) = ( 564 x 874 ) / 246468

= 564 / 874

= 564

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

= 2 / 981

= 2

So, Greatest Common Divisor of 564, 874, 216, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 301, 841, 655
• GCD of 345, 461, 220, 989
• GCD of 220, 971, 114, 450
• GCD of 971, 240, 432, 850
• GCD of 174, 634, 314, 659

Given numbers are 564, 874, 216, 981
The greatest common divisor of numbers 564, 874, 216, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 874, 216, 981 is 1.

1. What is the GCD of 564, 874, 216, 981?

GCD of given numbers 564, 874, 216, 981 is 1

2. How to calculate the greatest common divisor of 564, 874, 216, 981?

We can find the highest common divisor of 564, 874, 216, 981 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 564, 874, 216, 981 i.e 1.

3. How can I use the GCD of 564, 874, 216, 981Calculator?

Out the numbers 564, 874, 216, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.