GCD of 150, 165, 195 Calculator

Given Input numbers are 150, 165, 195

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 165 :

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

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

GCD of numbers is the greatest common divisor

So, the GCD (150, 165, 195) = 15.

Given numbers are 150, 165, 195

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 165 are 3 x 5 x 11

Prime factors of 195 are 3 x 5 x 13

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 150, 165, 195 is 15.

Given numbers are 150, 165, 195

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

Apply this formula for all numbers.

Step1:

LCM(150, 165) = 1650

GCD(150, 165) = ( 150 x 165 ) / 1650

= 150 / 165

= 150

Step2:

LCM(15, 195) = 195

GCD(15, 195) = ( 15 x 195 ) / 195

= 15 / 195

= 15

So, Greatest Common Divisor of 150, 165, 195 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 309, 133
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Given numbers are 150, 165, 195
The greatest common divisor of numbers 150, 165, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 165, 195 is 15.

1. What is the GCD of 150, 165, 195?

GCD of given numbers 150, 165, 195 is 15

2. How to calculate the greatest common divisor of 150, 165, 195?

We can find the highest common divisor of 150, 165, 195 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 150, 165, 195 i.e 15.

3. How can I use the GCD of 150, 165, 195Calculator?

Out the numbers 150, 165, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.