GCD of 504, 206, 108, 705 Calculator

Given Input numbers are 504, 206, 108, 705

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (504, 206, 108, 705) = 1.

Given numbers are 504, 206, 108, 705

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 206 are 2 x 103

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

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 504, 206, 108, 705

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

Apply this formula for all numbers.

Step1:

LCM(504, 206) = 51912

GCD(504, 206) = ( 504 x 206 ) / 51912

= 504 / 206

= 504

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

So, Greatest Common Divisor of 504, 206, 108, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 415, 445, 805
• GCD of 384, 288, 671, 215
• GCD of 659, 667, 894, 985
• GCD of 394, 943, 648, 153
• GCD of 847, 480, 870, 537

Given numbers are 504, 206, 108, 705
The greatest common divisor of numbers 504, 206, 108, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 206, 108, 705 is 1.

1. What is the GCD of 504, 206, 108, 705?

GCD of given numbers 504, 206, 108, 705 is 1

2. How to calculate the greatest common divisor of 504, 206, 108, 705?

We can find the highest common divisor of 504, 206, 108, 705 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 504, 206, 108, 705 i.e 1.

3. How can I use the GCD of 504, 206, 108, 705Calculator?

Out the numbers 504, 206, 108, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.