GCD of 165, 750, 159, 423 Calculator

Given Input numbers are 165, 750, 159, 423

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 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (165, 750, 159, 423) = 3.

Given numbers are 165, 750, 159, 423

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 159 are 3 x 53

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 165, 750, 159, 423 is 3.

Given numbers are 165, 750, 159, 423

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

Apply this formula for all numbers.

Step1:

LCM(165, 750) = 8250

GCD(165, 750) = ( 165 x 750 ) / 8250

= 165 / 750

= 165

Step2:

LCM(15, 159) = 795

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

= 15 / 159

= 15

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 165, 750, 159, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 676, 384, 256
• GCD of 610, 523, 602, 295
• GCD of 159, 863, 754, 161
• GCD of 561, 503, 572, 797
• GCD of 362, 182, 729, 384

Given numbers are 165, 750, 159, 423
The greatest common divisor of numbers 165, 750, 159, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 750, 159, 423 is 3.

1. What is the GCD of 165, 750, 159, 423?

GCD of given numbers 165, 750, 159, 423 is 3

2. How to calculate the greatest common divisor of 165, 750, 159, 423?

We can find the highest common divisor of 165, 750, 159, 423 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, 750, 159, 423 i.e 3.

3. How can I use the GCD of 165, 750, 159, 423Calculator?

Out the numbers 165, 750, 159, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.