GCD of 420, 497, 204, 723 Calculator

Given Input numbers are 420, 497, 204, 723

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 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (420, 497, 204, 723) = 1.

Given numbers are 420, 497, 204, 723

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 497 are 7 x 71

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 723 are 3 x 241

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

Given numbers are 420, 497, 204, 723

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

Apply this formula for all numbers.

Step1:

LCM(420, 497) = 29820

GCD(420, 497) = ( 420 x 497 ) / 29820

= 420 / 497

= 420

Step2:

LCM(7, 204) = 1428

GCD(7, 204) = ( 7 x 204 ) / 1428

= 7 / 204

= 7

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 420, 497, 204, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 302, 403, 881
• GCD of 419, 872, 613, 887
• GCD of 608, 183, 979, 710
• GCD of 403, 484, 218, 785
• GCD of 924, 478, 900, 346

Given numbers are 420, 497, 204, 723
The greatest common divisor of numbers 420, 497, 204, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 497, 204, 723 is 1.

1. What is the GCD of 420, 497, 204, 723?

GCD of given numbers 420, 497, 204, 723 is 1

2. How to calculate the greatest common divisor of 420, 497, 204, 723?

We can find the highest common divisor of 420, 497, 204, 723 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, 497, 204, 723 i.e 1.

3. How can I use the GCD of 420, 497, 204, 723Calculator?

Out the numbers 420, 497, 204, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.