GCD of 159, 465, 390, 820 Calculator

Given Input numbers are 159, 465, 390, 820

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

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (159, 465, 390, 820) = 1.

Given numbers are 159, 465, 390, 820

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 465 are 3 x 5 x 31

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 820 are 2 x 2 x 5 x 41

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

Given numbers are 159, 465, 390, 820

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

Apply this formula for all numbers.

Step1:

LCM(159, 465) = 24645

GCD(159, 465) = ( 159 x 465 ) / 24645

= 159 / 465

= 159

Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

Step3:

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

= 3 / 820

= 3

So, Greatest Common Divisor of 159, 465, 390, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 960, 415, 429
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• GCD of 136, 381, 741, 652

Given numbers are 159, 465, 390, 820
The greatest common divisor of numbers 159, 465, 390, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 465, 390, 820 is 1.

1. What is the GCD of 159, 465, 390, 820?

GCD of given numbers 159, 465, 390, 820 is 1

2. How to calculate the greatest common divisor of 159, 465, 390, 820?

We can find the highest common divisor of 159, 465, 390, 820 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 159, 465, 390, 820 i.e 1.

3. How can I use the GCD of 159, 465, 390, 820Calculator?

Out the numbers 159, 465, 390, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.