GCD of 308, 397, 591, 420 Calculator

Given Input numbers are 308, 397, 591, 420

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

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 (308, 397, 591, 420) = 1.

Given numbers are 308, 397, 591, 420

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 397 are 397

Prime factors of 591 are 3 x 197

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 308, 397, 591, 420

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

Apply this formula for all numbers.

Step1:

LCM(308, 397) = 122276

GCD(308, 397) = ( 308 x 397 ) / 122276

= 308 / 397

= 308

Step2:

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

= 1 / 591

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 308, 397, 591, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 778, 372, 714
• GCD of 408, 521, 212, 673
• GCD of 197, 384, 997, 471
• GCD of 562, 348, 952, 812
• GCD of 199, 914, 410, 269

Given numbers are 308, 397, 591, 420
The greatest common divisor of numbers 308, 397, 591, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 397, 591, 420 is 1.

1. What is the GCD of 308, 397, 591, 420?

GCD of given numbers 308, 397, 591, 420 is 1

2. How to calculate the greatest common divisor of 308, 397, 591, 420?

We can find the highest common divisor of 308, 397, 591, 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 308, 397, 591, 420 i.e 1.

3. How can I use the GCD of 308, 397, 591, 420Calculator?

Out the numbers 308, 397, 591, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.