GCD of 508, 856, 170, 634 Calculator

Given Input numbers are 508, 856, 170, 634

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

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 170 :

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

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (508, 856, 170, 634) = 2.

Given numbers are 508, 856, 170, 634

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 170 are 2 x 5 x 17

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 508, 856, 170, 634 is 2.

Given numbers are 508, 856, 170, 634

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

Apply this formula for all numbers.

Step1:

LCM(508, 856) = 108712

GCD(508, 856) = ( 508 x 856 ) / 108712

= 508 / 856

= 508

Step2:

LCM(4, 170) = 340

GCD(4, 170) = ( 4 x 170 ) / 340

= 4 / 170

= 4

Step3:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

So, Greatest Common Divisor of 508, 856, 170, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 299, 935, 110
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Given numbers are 508, 856, 170, 634
The greatest common divisor of numbers 508, 856, 170, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 856, 170, 634 is 2.

1. What is the GCD of 508, 856, 170, 634?

GCD of given numbers 508, 856, 170, 634 is 2

2. How to calculate the greatest common divisor of 508, 856, 170, 634?

We can find the highest common divisor of 508, 856, 170, 634 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 508, 856, 170, 634 i.e 2.

3. How can I use the GCD of 508, 856, 170, 634Calculator?

Out the numbers 508, 856, 170, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.