GCD of 180, 807, 222, 408 Calculator

Given Input numbers are 180, 807, 222, 408

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 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (180, 807, 222, 408) = 3.

Given numbers are 180, 807, 222, 408

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 807 are 3 x 269

Prime factors of 222 are 2 x 3 x 37

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 180, 807, 222, 408 is 3.

Given numbers are 180, 807, 222, 408

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

Apply this formula for all numbers.

Step1:

LCM(180, 807) = 48420

GCD(180, 807) = ( 180 x 807 ) / 48420

= 180 / 807

= 180

Step2:

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

= 3 / 222

= 3

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 180, 807, 222, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 428, 284, 688
• GCD of 276, 279, 741, 338
• GCD of 514, 432, 458, 840
• GCD of 880, 597, 136, 824
• GCD of 206, 280, 333, 930

Given numbers are 180, 807, 222, 408
The greatest common divisor of numbers 180, 807, 222, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 807, 222, 408 is 3.

1. What is the GCD of 180, 807, 222, 408?

GCD of given numbers 180, 807, 222, 408 is 3

2. How to calculate the greatest common divisor of 180, 807, 222, 408?

We can find the highest common divisor of 180, 807, 222, 408 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, 807, 222, 408 i.e 3.

3. How can I use the GCD of 180, 807, 222, 408Calculator?

Out the numbers 180, 807, 222, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.