GCD of 328, 971, 580, 420 Calculator

Given Input numbers are 328, 971, 580, 420

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 (328, 971, 580, 420) = 1.

Given numbers are 328, 971, 580, 420

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 971 are 971

Prime factors of 580 are 2 x 2 x 5 x 29

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 328, 971, 580, 420

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

Apply this formula for all numbers.

Step1:

LCM(328, 971) = 318488

GCD(328, 971) = ( 328 x 971 ) / 318488

= 328 / 971

= 328

Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 328, 971, 580, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 444, 725, 915
• GCD of 971, 363, 200, 602
• GCD of 350, 739, 194, 861
• GCD of 974, 823, 648, 122
• GCD of 300, 231, 691, 835

Given numbers are 328, 971, 580, 420
The greatest common divisor of numbers 328, 971, 580, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 971, 580, 420 is 1.

1. What is the GCD of 328, 971, 580, 420?

GCD of given numbers 328, 971, 580, 420 is 1

2. How to calculate the greatest common divisor of 328, 971, 580, 420?

We can find the highest common divisor of 328, 971, 580, 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 328, 971, 580, 420 i.e 1.

3. How can I use the GCD of 328, 971, 580, 420Calculator?

Out the numbers 328, 971, 580, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.