GCD of 724, 538, 273, 821 Calculator

Given Input numbers are 724, 538, 273, 821

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (724, 538, 273, 821) = 1.

Given numbers are 724, 538, 273, 821

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 538 are 2 x 269

Prime factors of 273 are 3 x 7 x 13

Prime factors of 821 are 821

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

Given numbers are 724, 538, 273, 821

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

Apply this formula for all numbers.

Step1:

LCM(724, 538) = 194756

GCD(724, 538) = ( 724 x 538 ) / 194756

= 724 / 538

= 724

Step2:

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

= 2 / 273

= 2

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 724, 538, 273, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 179, 679, 603
• GCD of 709, 667, 158, 805
• GCD of 447, 776, 913, 942
• GCD of 970, 997, 638, 852
• GCD of 704, 237, 906, 722

Given numbers are 724, 538, 273, 821
The greatest common divisor of numbers 724, 538, 273, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 538, 273, 821 is 1.

1. What is the GCD of 724, 538, 273, 821?

GCD of given numbers 724, 538, 273, 821 is 1

2. How to calculate the greatest common divisor of 724, 538, 273, 821?

We can find the highest common divisor of 724, 538, 273, 821 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 724, 538, 273, 821 i.e 1.

3. How can I use the GCD of 724, 538, 273, 821Calculator?

Out the numbers 724, 538, 273, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.