GCD of 170, 508, 978, 568 Calculator

Given Input numbers are 170, 508, 978, 568

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

GCD of numbers is the greatest common divisor

So, the GCD (170, 508, 978, 568) = 2.

Given numbers are 170, 508, 978, 568

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 508 are 2 x 2 x 127

Prime factors of 978 are 2 x 3 x 163

Prime factors of 568 are 2 x 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 170, 508, 978, 568 is 2.

Given numbers are 170, 508, 978, 568

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

Apply this formula for all numbers.

Step1:

LCM(170, 508) = 43180

GCD(170, 508) = ( 170 x 508 ) / 43180

= 170 / 508

= 170

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

= 2 / 568

= 2

So, Greatest Common Divisor of 170, 508, 978, 568 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 102, 507, 186
• GCD of 125, 307, 452, 859
• GCD of 112, 215, 402, 661
• GCD of 870, 237, 283, 219
• GCD of 536, 953, 219, 430

Given numbers are 170, 508, 978, 568
The greatest common divisor of numbers 170, 508, 978, 568 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 508, 978, 568 is 2.

1. What is the GCD of 170, 508, 978, 568?

GCD of given numbers 170, 508, 978, 568 is 2

2. How to calculate the greatest common divisor of 170, 508, 978, 568?

We can find the highest common divisor of 170, 508, 978, 568 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, 508, 978, 568 i.e 2.

3. How can I use the GCD of 170, 508, 978, 568Calculator?

Out the numbers 170, 508, 978, 568 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.