GCD of 180, 495, 561, 171 Calculator

Given Input numbers are 180, 495, 561, 171

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (180, 495, 561, 171) = 3.

Given numbers are 180, 495, 561, 171

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 561 are 3 x 11 x 17

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 180, 495, 561, 171 is 3.

Given numbers are 180, 495, 561, 171

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

Apply this formula for all numbers.

Step1:

LCM(180, 495) = 1980

GCD(180, 495) = ( 180 x 495 ) / 1980

= 180 / 495

= 180

Step2:

LCM(45, 561) = 8415

GCD(45, 561) = ( 45 x 561 ) / 8415

= 45 / 561

= 45

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 180, 495, 561, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 582, 777, 485
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Given numbers are 180, 495, 561, 171
The greatest common divisor of numbers 180, 495, 561, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 495, 561, 171 is 3.

1. What is the GCD of 180, 495, 561, 171?

GCD of given numbers 180, 495, 561, 171 is 3

2. How to calculate the greatest common divisor of 180, 495, 561, 171?

We can find the highest common divisor of 180, 495, 561, 171 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 180, 495, 561, 171 i.e 3.

3. How can I use the GCD of 180, 495, 561, 171Calculator?

Out the numbers 180, 495, 561, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.