GCD of 170, 146, 24, 564 Calculator

Given Input numbers are 170, 146, 24, 564

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 146, 24, 564) = 2.

Given numbers are 170, 146, 24, 564

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 146 are 2 x 73

Prime factors of 24 are 2 x 2 x 2 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 170, 146, 24, 564 is 2.

Given numbers are 170, 146, 24, 564

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

Apply this formula for all numbers.

Step1:

LCM(170, 146) = 12410

GCD(170, 146) = ( 170 x 146 ) / 12410

= 170 / 146

= 170

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 170, 146, 24, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 248, 75, 919
• GCD of 496, 242, 24, 989
• GCD of 298, 218, 47, 898
• GCD of 750, 939, 68, 792
• GCD of 842, 976, 92, 845

Given numbers are 170, 146, 24, 564
The greatest common divisor of numbers 170, 146, 24, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 146, 24, 564 is 2.

1. What is the GCD of 170, 146, 24, 564?

GCD of given numbers 170, 146, 24, 564 is 2

2. How to calculate the greatest common divisor of 170, 146, 24, 564?

We can find the highest common divisor of 170, 146, 24, 564 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 170, 146, 24, 564 i.e 2.

3. How can I use the GCD of 170, 146, 24, 564Calculator?

Out the numbers 170, 146, 24, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.