GCD of 421, 180, 108, 311 Calculator

Given Input numbers are 421, 180, 108, 311

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (421, 180, 108, 311) = 1.

Given numbers are 421, 180, 108, 311

The list of prime factors of all numbers are

Prime factors of 421 are 421

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 311 are 311

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

Given numbers are 421, 180, 108, 311

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

Apply this formula for all numbers.

Step1:

LCM(421, 180) = 75780

GCD(421, 180) = ( 421 x 180 ) / 75780

= 421 / 180

= 421

Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

Step3:

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

= 1 / 311

= 1

So, Greatest Common Divisor of 421, 180, 108, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 768, 645, 945
• GCD of 932, 731, 249, 962
• GCD of 950, 620, 640, 662
• GCD of 538, 633, 989, 818
• GCD of 477, 579, 244, 665

Given numbers are 421, 180, 108, 311
The greatest common divisor of numbers 421, 180, 108, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 180, 108, 311 is 1.

1. What is the GCD of 421, 180, 108, 311?

GCD of given numbers 421, 180, 108, 311 is 1

2. How to calculate the greatest common divisor of 421, 180, 108, 311?

We can find the highest common divisor of 421, 180, 108, 311 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 421, 180, 108, 311 i.e 1.

3. How can I use the GCD of 421, 180, 108, 311Calculator?

Out the numbers 421, 180, 108, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.