GCD of 180, 323, 14, 420 Calculator

Given Input numbers are 180, 323, 14, 420

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 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (180, 323, 14, 420) = 1.

Given numbers are 180, 323, 14, 420

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 323 are 17 x 19

Prime factors of 14 are 2 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 180, 323, 14, 420

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

Apply this formula for all numbers.

Step1:

LCM(180, 323) = 58140

GCD(180, 323) = ( 180 x 323 ) / 58140

= 180 / 323

= 180

Step2:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 180, 323, 14, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 648, 98, 715
• GCD of 417, 170, 61, 655
• GCD of 469, 490, 49, 111
• GCD of 291, 701, 69, 671
• GCD of 825, 376, 38, 271

Given numbers are 180, 323, 14, 420
The greatest common divisor of numbers 180, 323, 14, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 323, 14, 420 is 1.

1. What is the GCD of 180, 323, 14, 420?

GCD of given numbers 180, 323, 14, 420 is 1

2. How to calculate the greatest common divisor of 180, 323, 14, 420?

We can find the highest common divisor of 180, 323, 14, 420 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, 323, 14, 420 i.e 1.

3. How can I use the GCD of 180, 323, 14, 420Calculator?

Out the numbers 180, 323, 14, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.