GCD of 369, 414, 159, 638 Calculator

Given Input numbers are 369, 414, 159, 638

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (369, 414, 159, 638) = 1.

Given numbers are 369, 414, 159, 638

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 159 are 3 x 53

Prime factors of 638 are 2 x 11 x 29

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

Given numbers are 369, 414, 159, 638

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

Apply this formula for all numbers.

Step1:

LCM(369, 414) = 16974

GCD(369, 414) = ( 369 x 414 ) / 16974

= 369 / 414

= 369

Step2:

LCM(9, 159) = 477

GCD(9, 159) = ( 9 x 159 ) / 477

= 9 / 159

= 9

Step3:

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

= 3 / 638

= 3

So, Greatest Common Divisor of 369, 414, 159, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 309, 819, 156
• GCD of 983, 592, 402, 121
• GCD of 831, 478, 162, 297
• GCD of 978, 975, 784, 679
• GCD of 446, 675, 231, 610

Given numbers are 369, 414, 159, 638
The greatest common divisor of numbers 369, 414, 159, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 414, 159, 638 is 1.

1. What is the GCD of 369, 414, 159, 638?

GCD of given numbers 369, 414, 159, 638 is 1

2. How to calculate the greatest common divisor of 369, 414, 159, 638?

We can find the highest common divisor of 369, 414, 159, 638 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 369, 414, 159, 638 i.e 1.

3. How can I use the GCD of 369, 414, 159, 638Calculator?

Out the numbers 369, 414, 159, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.