GCD of 564, 563, 722, 823 Calculator

Given Input numbers are 564, 563, 722, 823

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 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (564, 563, 722, 823) = 1.

Given numbers are 564, 563, 722, 823

The list of prime factors of all numbers are

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

Prime factors of 563 are 563

Prime factors of 722 are 2 x 19 x 19

Prime factors of 823 are 823

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

Given numbers are 564, 563, 722, 823

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

Apply this formula for all numbers.

Step1:

LCM(564, 563) = 317532

GCD(564, 563) = ( 564 x 563 ) / 317532

= 564 / 563

= 564

Step2:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 564, 563, 722, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 261, 669, 967
• GCD of 457, 392, 226, 368
• GCD of 915, 839, 704, 265
• GCD of 922, 494, 847, 198
• GCD of 164, 951, 976, 674

Given numbers are 564, 563, 722, 823
The greatest common divisor of numbers 564, 563, 722, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 563, 722, 823 is 1.

1. What is the GCD of 564, 563, 722, 823?

GCD of given numbers 564, 563, 722, 823 is 1

2. How to calculate the greatest common divisor of 564, 563, 722, 823?

We can find the highest common divisor of 564, 563, 722, 823 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, 563, 722, 823 i.e 1.

3. How can I use the GCD of 564, 563, 722, 823Calculator?

Out the numbers 564, 563, 722, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.