GCD of 165, 630, 159, 120 Calculator

Given Input numbers are 165, 630, 159, 120

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (165, 630, 159, 120) = 3.

Given numbers are 165, 630, 159, 120

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 159 are 3 x 53

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 165, 630, 159, 120 is 3.

Given numbers are 165, 630, 159, 120

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

Apply this formula for all numbers.

Step1:

LCM(165, 630) = 6930

GCD(165, 630) = ( 165 x 630 ) / 6930

= 165 / 630

= 165

Step2:

LCM(15, 159) = 795

GCD(15, 159) = ( 15 x 159 ) / 795

= 15 / 159

= 15

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 165, 630, 159, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 624, 567, 178
• GCD of 596, 646, 605, 776
• GCD of 439, 973, 507, 106
• GCD of 155, 847, 572, 134
• GCD of 818, 515, 510, 184

Given numbers are 165, 630, 159, 120
The greatest common divisor of numbers 165, 630, 159, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 630, 159, 120 is 3.

1. What is the GCD of 165, 630, 159, 120?

GCD of given numbers 165, 630, 159, 120 is 3

2. How to calculate the greatest common divisor of 165, 630, 159, 120?

We can find the highest common divisor of 165, 630, 159, 120 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 165, 630, 159, 120 i.e 3.

3. How can I use the GCD of 165, 630, 159, 120Calculator?

Out the numbers 165, 630, 159, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.