GCD of 111, 150, 201, 180 Calculator

Given Input numbers are 111, 150, 201, 180

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

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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

GCD of numbers is the greatest common divisor

So, the GCD (111, 150, 201, 180) = 3.

Given numbers are 111, 150, 201, 180

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

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

Prime factors of 201 are 3 x 67

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

The highest common occurrence is 3¹

Therefore, GCD of 111, 150, 201, 180 is 3.

Given numbers are 111, 150, 201, 180

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

Apply this formula for all numbers.

Step1:

LCM(111, 150) = 5550

GCD(111, 150) = ( 111 x 150 ) / 5550

= 111 / 150

= 111

Step2:

LCM(3, 201) = 201

GCD(3, 201) = ( 3 x 201 ) / 201

= 3 / 201

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 111, 150, 201, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 458, 126, 235
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• GCD of 503, 854, 420, 799

Given numbers are 111, 150, 201, 180
The greatest common divisor of numbers 111, 150, 201, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 150, 201, 180 is 3.

1. What is the GCD of 111, 150, 201, 180?

GCD of given numbers 111, 150, 201, 180 is 3

2. How to calculate the greatest common divisor of 111, 150, 201, 180?

We can find the highest common divisor of 111, 150, 201, 180 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 111, 150, 201, 180 i.e 3.

3. How can I use the GCD of 111, 150, 201, 180Calculator?

Out the numbers 111, 150, 201, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.