GCD of 442, 724, 420, 731 Calculator

Given Input numbers are 442, 724, 420, 731

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

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 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (442, 724, 420, 731) = 1.

Given numbers are 442, 724, 420, 731

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 731 are 17 x 43

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

Given numbers are 442, 724, 420, 731

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

Apply this formula for all numbers.

Step1:

LCM(442, 724) = 160004

GCD(442, 724) = ( 442 x 724 ) / 160004

= 442 / 724

= 442

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

So, Greatest Common Divisor of 442, 724, 420, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 599, 122, 952
• GCD of 495, 457, 136, 239
• GCD of 283, 337, 722, 355
• GCD of 839, 977, 809, 465
• GCD of 699, 502, 404, 272

Given numbers are 442, 724, 420, 731
The greatest common divisor of numbers 442, 724, 420, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 724, 420, 731 is 1.

1. What is the GCD of 442, 724, 420, 731?

GCD of given numbers 442, 724, 420, 731 is 1

2. How to calculate the greatest common divisor of 442, 724, 420, 731?

We can find the highest common divisor of 442, 724, 420, 731 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 442, 724, 420, 731 i.e 1.

3. How can I use the GCD of 442, 724, 420, 731Calculator?

Out the numbers 442, 724, 420, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.