GCD of 420, 724, 18, 503 Calculator

Given Input numbers are 420, 724, 18, 503

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503

GCD of numbers is the greatest common divisor

So, the GCD (420, 724, 18, 503) = 1.

Given numbers are 420, 724, 18, 503

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 724 are 2 x 2 x 181

Prime factors of 18 are 2 x 3 x 3

Prime factors of 503 are 503

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

Given numbers are 420, 724, 18, 503

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

Apply this formula for all numbers.

Step1:

LCM(420, 724) = 76020

GCD(420, 724) = ( 420 x 724 ) / 76020

= 420 / 724

= 420

Step2:

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

= 4 / 18

= 4

Step3:

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

= 2 / 503

= 2

So, Greatest Common Divisor of 420, 724, 18, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 483, 94, 645
• GCD of 544, 352, 52, 887
• GCD of 349, 167, 54, 377
• GCD of 899, 339, 38, 741
• GCD of 108, 691, 91, 358

Given numbers are 420, 724, 18, 503
The greatest common divisor of numbers 420, 724, 18, 503 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 724, 18, 503 is 1.

1. What is the GCD of 420, 724, 18, 503?

GCD of given numbers 420, 724, 18, 503 is 1

2. How to calculate the greatest common divisor of 420, 724, 18, 503?

We can find the highest common divisor of 420, 724, 18, 503 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, 724, 18, 503 i.e 1.

3. How can I use the GCD of 420, 724, 18, 503Calculator?

Out the numbers 420, 724, 18, 503 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.