GCD of 180, 267, 111, 357 Calculator

Given Input numbers are 180, 267, 111, 357

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 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 111 :

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

1, 3, 37, 111

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (180, 267, 111, 357) = 3.

Given numbers are 180, 267, 111, 357

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 267 are 3 x 89

Prime factors of 111 are 3 x 37

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 180, 267, 111, 357 is 3.

Given numbers are 180, 267, 111, 357

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

Apply this formula for all numbers.

Step1:

LCM(180, 267) = 16020

GCD(180, 267) = ( 180 x 267 ) / 16020

= 180 / 267

= 180

Step2:

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

= 3 / 111

= 3

Step3:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

So, Greatest Common Divisor of 180, 267, 111, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 913, 579, 645
• GCD of 614, 782, 401, 316
• GCD of 614, 453, 950, 607
• GCD of 862, 956, 403, 500
• GCD of 555, 600, 629, 277

Given numbers are 180, 267, 111, 357
The greatest common divisor of numbers 180, 267, 111, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 267, 111, 357 is 3.

1. What is the GCD of 180, 267, 111, 357?

GCD of given numbers 180, 267, 111, 357 is 3

2. How to calculate the greatest common divisor of 180, 267, 111, 357?

We can find the highest common divisor of 180, 267, 111, 357 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, 267, 111, 357 i.e 3.

3. How can I use the GCD of 180, 267, 111, 357Calculator?

Out the numbers 180, 267, 111, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.