GCD of 159, 309, 642, 969 Calculator

Given Input numbers are 159, 309, 642, 969

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (159, 309, 642, 969) = 3.

Given numbers are 159, 309, 642, 969

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 309 are 3 x 103

Prime factors of 642 are 2 x 3 x 107

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 159, 309, 642, 969 is 3.

Given numbers are 159, 309, 642, 969

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

Apply this formula for all numbers.

Step1:

LCM(159, 309) = 16377

GCD(159, 309) = ( 159 x 309 ) / 16377

= 159 / 309

= 159

Step2:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 159, 309, 642, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 401, 216, 867
• GCD of 181, 248, 182, 149
• GCD of 871, 118, 569, 725
• GCD of 176, 874, 715, 399
• GCD of 131, 742, 115, 575

Given numbers are 159, 309, 642, 969
The greatest common divisor of numbers 159, 309, 642, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 309, 642, 969 is 3.

1. What is the GCD of 159, 309, 642, 969?

GCD of given numbers 159, 309, 642, 969 is 3

2. How to calculate the greatest common divisor of 159, 309, 642, 969?

We can find the highest common divisor of 159, 309, 642, 969 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, 309, 642, 969 i.e 3.

3. How can I use the GCD of 159, 309, 642, 969Calculator?

Out the numbers 159, 309, 642, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.