GCD of 564, 152, 298, 170 Calculator

Given Input numbers are 564, 152, 298, 170

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 170 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 152, 298, 170) = 2.

Given numbers are 564, 152, 298, 170

The list of prime factors of all numbers are

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

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 298 are 2 x 149

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 564, 152, 298, 170 is 2.

Given numbers are 564, 152, 298, 170

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

Apply this formula for all numbers.

Step1:

LCM(564, 152) = 21432

GCD(564, 152) = ( 564 x 152 ) / 21432

= 564 / 152

= 564

Step2:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 564, 152, 298, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 962, 356, 820
• GCD of 578, 790, 147, 721
• GCD of 512, 947, 574, 306
• GCD of 600, 943, 643, 911
• GCD of 881, 654, 868, 867

Given numbers are 564, 152, 298, 170
The greatest common divisor of numbers 564, 152, 298, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 152, 298, 170 is 2.

1. What is the GCD of 564, 152, 298, 170?

GCD of given numbers 564, 152, 298, 170 is 2

2. How to calculate the greatest common divisor of 564, 152, 298, 170?

We can find the highest common divisor of 564, 152, 298, 170 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, 152, 298, 170 i.e 2.

3. How can I use the GCD of 564, 152, 298, 170Calculator?

Out the numbers 564, 152, 298, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.