GCD of 506, 350, 353, 189 Calculator

Given Input numbers are 506, 350, 353, 189

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (506, 350, 353, 189) = 1.

Given numbers are 506, 350, 353, 189

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 353 are 353

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 506, 350, 353, 189

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

Apply this formula for all numbers.

Step1:

LCM(506, 350) = 88550

GCD(506, 350) = ( 506 x 350 ) / 88550

= 506 / 350

= 506

Step2:

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

= 2 / 353

= 2

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 506, 350, 353, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 771, 710, 453
• GCD of 583, 977, 986, 295
• GCD of 312, 624, 767, 871
• GCD of 439, 408, 643, 335
• GCD of 753, 257, 894, 548

Given numbers are 506, 350, 353, 189
The greatest common divisor of numbers 506, 350, 353, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 350, 353, 189 is 1.

1. What is the GCD of 506, 350, 353, 189?

GCD of given numbers 506, 350, 353, 189 is 1

2. How to calculate the greatest common divisor of 506, 350, 353, 189?

We can find the highest common divisor of 506, 350, 353, 189 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 506, 350, 353, 189 i.e 1.

3. How can I use the GCD of 506, 350, 353, 189Calculator?

Out the numbers 506, 350, 353, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.