GCD of 165, 150, 225, 279 Calculator

Given Input numbers are 165, 150, 225, 279

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 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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (165, 150, 225, 279) = 3.

Given numbers are 165, 150, 225, 279

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 165, 150, 225, 279 is 3.

Given numbers are 165, 150, 225, 279

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

Apply this formula for all numbers.

Step1:

LCM(165, 150) = 1650

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

= 165 / 150

= 165

Step2:

LCM(15, 225) = 225

GCD(15, 225) = ( 15 x 225 ) / 225

= 15 / 225

= 15

Step3:

LCM(15, 279) = 1395

GCD(15, 279) = ( 15 x 279 ) / 1395

= 15 / 279

= 15

So, Greatest Common Divisor of 165, 150, 225, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 367, 101, 163
• GCD of 368, 915, 950, 174
• GCD of 969, 631, 606, 395
• GCD of 792, 265, 853, 835
• GCD of 115, 222, 290, 849

Given numbers are 165, 150, 225, 279
The greatest common divisor of numbers 165, 150, 225, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 150, 225, 279 is 3.

1. What is the GCD of 165, 150, 225, 279?

GCD of given numbers 165, 150, 225, 279 is 3

2. How to calculate the greatest common divisor of 165, 150, 225, 279?

We can find the highest common divisor of 165, 150, 225, 279 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, 150, 225, 279 i.e 3.

3. How can I use the GCD of 165, 150, 225, 279Calculator?

Out the numbers 165, 150, 225, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.