GCD of 159, 420, 801, 324 Calculator

Given Input numbers are 159, 420, 801, 324

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (159, 420, 801, 324) = 3.

Given numbers are 159, 420, 801, 324

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 801 are 3 x 3 x 89

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 159, 420, 801, 324 is 3.

Given numbers are 159, 420, 801, 324

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

Apply this formula for all numbers.

Step1:

LCM(159, 420) = 22260

GCD(159, 420) = ( 159 x 420 ) / 22260

= 159 / 420

= 159

Step2:

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

= 3 / 801

= 3

Step3:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3

So, Greatest Common Divisor of 159, 420, 801, 324 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 617, 654, 940
• GCD of 658, 354, 738, 486
• GCD of 953, 224, 886, 933
• GCD of 881, 281, 649, 747
• GCD of 924, 346, 912, 448

Given numbers are 159, 420, 801, 324
The greatest common divisor of numbers 159, 420, 801, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 420, 801, 324 is 3.

1. What is the GCD of 159, 420, 801, 324?

GCD of given numbers 159, 420, 801, 324 is 3

2. How to calculate the greatest common divisor of 159, 420, 801, 324?

We can find the highest common divisor of 159, 420, 801, 324 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, 420, 801, 324 i.e 3.

3. How can I use the GCD of 159, 420, 801, 324Calculator?

Out the numbers 159, 420, 801, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.