GCD of 508, 108, 17, 341 Calculator

Given Input numbers are 508, 108, 17, 341

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

GCD of numbers is the greatest common divisor

So, the GCD (508, 108, 17, 341) = 1.

Given numbers are 508, 108, 17, 341

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 17 are 17

Prime factors of 341 are 11 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 508, 108, 17, 341

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

Apply this formula for all numbers.

Step1:

LCM(508, 108) = 13716

GCD(508, 108) = ( 508 x 108 ) / 13716

= 508 / 108

= 508

Step2:

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

= 4 / 17

= 4

Step3:

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

= 1 / 341

= 1

So, Greatest Common Divisor of 508, 108, 17, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 228, 84, 668
• GCD of 338, 687, 84, 789
• GCD of 602, 854, 25, 250
• GCD of 154, 244, 35, 118
• GCD of 200, 582, 45, 192

Given numbers are 508, 108, 17, 341
The greatest common divisor of numbers 508, 108, 17, 341 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 108, 17, 341 is 1.

1. What is the GCD of 508, 108, 17, 341?

GCD of given numbers 508, 108, 17, 341 is 1

2. How to calculate the greatest common divisor of 508, 108, 17, 341?

We can find the highest common divisor of 508, 108, 17, 341 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, 108, 17, 341 i.e 1.

3. How can I use the GCD of 508, 108, 17, 341Calculator?

Out the numbers 508, 108, 17, 341 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.