GCD of 420, 309, 617, 604 Calculator

Given Input numbers are 420, 309, 617, 604

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

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

GCD of numbers is the greatest common divisor

So, the GCD (420, 309, 617, 604) = 1.

Given numbers are 420, 309, 617, 604

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 617 are 617

Prime factors of 604 are 2 x 2 x 151

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

Given numbers are 420, 309, 617, 604

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

Apply this formula for all numbers.

Step1:

LCM(420, 309) = 43260

GCD(420, 309) = ( 420 x 309 ) / 43260

= 420 / 309

= 420

Step2:

LCM(3, 617) = 1851

GCD(3, 617) = ( 3 x 617 ) / 1851

= 3 / 617

= 3

Step3:

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

= 1 / 604

= 1

So, Greatest Common Divisor of 420, 309, 617, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 607, 475, 807
• GCD of 674, 801, 581, 813
• GCD of 109, 211, 749, 793
• GCD of 163, 706, 697, 705
• GCD of 683, 594, 856, 774

Given numbers are 420, 309, 617, 604
The greatest common divisor of numbers 420, 309, 617, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 309, 617, 604 is 1.

1. What is the GCD of 420, 309, 617, 604?

GCD of given numbers 420, 309, 617, 604 is 1

2. How to calculate the greatest common divisor of 420, 309, 617, 604?

We can find the highest common divisor of 420, 309, 617, 604 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 420, 309, 617, 604 i.e 1.

3. How can I use the GCD of 420, 309, 617, 604Calculator?

Out the numbers 420, 309, 617, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.