GCD of 564, 870, 170, 298 Calculator

Given Input numbers are 564, 870, 170, 298

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 170 :

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

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

Divisors of 298 :

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

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (564, 870, 170, 298) = 2.

Given numbers are 564, 870, 170, 298

The list of prime factors of all numbers are

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 170 are 2 x 5 x 17

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 564, 870, 170, 298 is 2.

Given numbers are 564, 870, 170, 298

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

Apply this formula for all numbers.

Step1:

LCM(564, 870) = 81780

GCD(564, 870) = ( 564 x 870 ) / 81780

= 564 / 870

= 564

Step2:

LCM(6, 170) = 510

GCD(6, 170) = ( 6 x 170 ) / 510

= 6 / 170

= 6

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 564, 870, 170, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 666, 916, 854
• GCD of 157, 588, 927, 340
• GCD of 473, 738, 499, 726
• GCD of 637, 925, 794, 800
• GCD of 158, 479, 566, 548

Given numbers are 564, 870, 170, 298
The greatest common divisor of numbers 564, 870, 170, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 870, 170, 298 is 2.

1. What is the GCD of 564, 870, 170, 298?

GCD of given numbers 564, 870, 170, 298 is 2

2. How to calculate the greatest common divisor of 564, 870, 170, 298?

We can find the highest common divisor of 564, 870, 170, 298 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, 870, 170, 298 i.e 2.

3. How can I use the GCD of 564, 870, 170, 298Calculator?

Out the numbers 564, 870, 170, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.