GCD of 150, 159, 205, 814 Calculator

Given Input numbers are 150, 159, 205, 814

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (150, 159, 205, 814) = 1.

Given numbers are 150, 159, 205, 814

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 159 are 3 x 53

Prime factors of 205 are 5 x 41

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 150, 159, 205, 814

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

Apply this formula for all numbers.

Step1:

LCM(150, 159) = 7950

GCD(150, 159) = ( 150 x 159 ) / 7950

= 150 / 159

= 150

Step2:

LCM(3, 205) = 615

GCD(3, 205) = ( 3 x 205 ) / 615

= 3 / 205

= 3

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 150, 159, 205, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 989, 160, 695
• GCD of 956, 677, 178, 903
• GCD of 747, 490, 527, 165
• GCD of 993, 767, 361, 316
• GCD of 483, 928, 528, 316

Given numbers are 150, 159, 205, 814
The greatest common divisor of numbers 150, 159, 205, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 159, 205, 814 is 1.

1. What is the GCD of 150, 159, 205, 814?

GCD of given numbers 150, 159, 205, 814 is 1

2. How to calculate the greatest common divisor of 150, 159, 205, 814?

We can find the highest common divisor of 150, 159, 205, 814 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 150, 159, 205, 814 i.e 1.

3. How can I use the GCD of 150, 159, 205, 814Calculator?

Out the numbers 150, 159, 205, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.