GCD of 135, 609, 750 Calculator

Given Input numbers are 135, 609, 750

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

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

GCD of numbers is the greatest common divisor

So, the GCD (135, 609, 750) = 3.

Given numbers are 135, 609, 750

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 609 are 3 x 7 x 29

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

The highest common occurrence is 3¹

Therefore, GCD of 135, 609, 750 is 3.

Given numbers are 135, 609, 750

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

Apply this formula for all numbers.

Step1:

LCM(135, 609) = 27405

GCD(135, 609) = ( 135 x 609 ) / 27405

= 135 / 609

= 135

Step2:

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

= 3 / 750

= 3

So, Greatest Common Divisor of 135, 609, 750 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 920, 486
• GCD of 931, 237, 629
• GCD of 725, 603, 609
• GCD of 303, 303, 534
• GCD of 365, 872, 974

Given numbers are 135, 609, 750
The greatest common divisor of numbers 135, 609, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 609, 750 is 3.

1. What is the GCD of 135, 609, 750?

GCD of given numbers 135, 609, 750 is 3

2. How to calculate the greatest common divisor of 135, 609, 750?

We can find the highest common divisor of 135, 609, 750 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 135, 609, 750 i.e 3.

3. How can I use the GCD of 135, 609, 750Calculator?

Out the numbers 135, 609, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.