GCD of 564, 196, 567, 220 Calculator

Given Input numbers are 564, 196, 567, 220

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (564, 196, 567, 220) = 1.

Given numbers are 564, 196, 567, 220

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 220 are 2 x 2 x 5 x 11

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

Given numbers are 564, 196, 567, 220

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

Apply this formula for all numbers.

Step1:

LCM(564, 196) = 27636

GCD(564, 196) = ( 564 x 196 ) / 27636

= 564 / 196

= 564

Step2:

LCM(4, 567) = 2268

GCD(4, 567) = ( 4 x 567 ) / 2268

= 4 / 567

= 4

Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

So, Greatest Common Divisor of 564, 196, 567, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 461, 317, 508
• GCD of 522, 531, 452, 765
• GCD of 993, 292, 835, 678
• GCD of 800, 555, 419, 834
• GCD of 133, 227, 778, 885

Given numbers are 564, 196, 567, 220
The greatest common divisor of numbers 564, 196, 567, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 196, 567, 220 is 1.

1. What is the GCD of 564, 196, 567, 220?

GCD of given numbers 564, 196, 567, 220 is 1

2. How to calculate the greatest common divisor of 564, 196, 567, 220?

We can find the highest common divisor of 564, 196, 567, 220 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, 196, 567, 220 i.e 1.

3. How can I use the GCD of 564, 196, 567, 220Calculator?

Out the numbers 564, 196, 567, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.