GCD of 159, 780, 327, 414 Calculator

Given Input numbers are 159, 780, 327, 414

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

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

GCD of numbers is the greatest common divisor

So, the GCD (159, 780, 327, 414) = 3.

Given numbers are 159, 780, 327, 414

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 327 are 3 x 109

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

The highest common occurrence is 3¹

Therefore, GCD of 159, 780, 327, 414 is 3.

Given numbers are 159, 780, 327, 414

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

Apply this formula for all numbers.

Step1:

LCM(159, 780) = 41340

GCD(159, 780) = ( 159 x 780 ) / 41340

= 159 / 780

= 159

Step2:

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

= 3 / 327

= 3

Step3:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

So, Greatest Common Divisor of 159, 780, 327, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 631, 691, 968
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Given numbers are 159, 780, 327, 414
The greatest common divisor of numbers 159, 780, 327, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 780, 327, 414 is 3.

1. What is the GCD of 159, 780, 327, 414?

GCD of given numbers 159, 780, 327, 414 is 3

2. How to calculate the greatest common divisor of 159, 780, 327, 414?

We can find the highest common divisor of 159, 780, 327, 414 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, 780, 327, 414 i.e 3.

3. How can I use the GCD of 159, 780, 327, 414Calculator?

Out the numbers 159, 780, 327, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.