GCD of 564, 722, 550, 952 Calculator

Given Input numbers are 564, 722, 550, 952

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 722 :

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

1, 2, 19, 38, 361, 722

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (564, 722, 550, 952) = 2.

Given numbers are 564, 722, 550, 952

The list of prime factors of all numbers are

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

Prime factors of 722 are 2 x 19 x 19

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 564, 722, 550, 952 is 2.

Given numbers are 564, 722, 550, 952

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

Apply this formula for all numbers.

Step1:

LCM(564, 722) = 203604

GCD(564, 722) = ( 564 x 722 ) / 203604

= 564 / 722

= 564

Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 564, 722, 550, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 215, 243, 123
• GCD of 961, 534, 417, 862
• GCD of 911, 687, 877, 128
• GCD of 453, 194, 854, 685
• GCD of 154, 412, 566, 383

Given numbers are 564, 722, 550, 952
The greatest common divisor of numbers 564, 722, 550, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 722, 550, 952 is 2.

1. What is the GCD of 564, 722, 550, 952?

GCD of given numbers 564, 722, 550, 952 is 2

2. How to calculate the greatest common divisor of 564, 722, 550, 952?

We can find the highest common divisor of 564, 722, 550, 952 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, 722, 550, 952 i.e 2.

3. How can I use the GCD of 564, 722, 550, 952Calculator?

Out the numbers 564, 722, 550, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.