GCD of 564, 505, 42 Calculator

Given Input numbers are 564, 505, 42

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

GCD of numbers is the greatest common divisor

So, the GCD (564, 505, 42) = 1.

Given numbers are 564, 505, 42

The list of prime factors of all numbers are

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

Prime factors of 505 are 5 x 101

Prime factors of 42 are 2 x 3 x 7

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

Given numbers are 564, 505, 42

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

Apply this formula for all numbers.

Step1:

LCM(564, 505) = 284820

GCD(564, 505) = ( 564 x 505 ) / 284820

= 564 / 505

= 564

Step2:

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

= 1 / 42

= 1

So, Greatest Common Divisor of 564, 505, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 267, 79
• GCD of 412, 145, 19
• GCD of 142, 844, 53
• GCD of 777, 508, 37
• GCD of 121, 366, 50

Given numbers are 564, 505, 42
The greatest common divisor of numbers 564, 505, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 505, 42 is 1.

1. What is the GCD of 564, 505, 42?

GCD of given numbers 564, 505, 42 is 1

2. How to calculate the greatest common divisor of 564, 505, 42?

We can find the highest common divisor of 564, 505, 42 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, 505, 42 i.e 1.

3. How can I use the GCD of 564, 505, 42Calculator?

Out the numbers 564, 505, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.