GCD of 724, 242, 135, 493 Calculator

Given Input numbers are 724, 242, 135, 493

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (724, 242, 135, 493) = 1.

Given numbers are 724, 242, 135, 493

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 242 are 2 x 11 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 493 are 17 x 29

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

Given numbers are 724, 242, 135, 493

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

Apply this formula for all numbers.

Step1:

LCM(724, 242) = 87604

GCD(724, 242) = ( 724 x 242 ) / 87604

= 724 / 242

= 724

Step2:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1

So, Greatest Common Divisor of 724, 242, 135, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 868, 775, 477
• GCD of 385, 218, 261, 754
• GCD of 873, 176, 896, 452
• GCD of 128, 363, 434, 449
• GCD of 500, 329, 406, 634

Given numbers are 724, 242, 135, 493
The greatest common divisor of numbers 724, 242, 135, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 242, 135, 493 is 1.

1. What is the GCD of 724, 242, 135, 493?

GCD of given numbers 724, 242, 135, 493 is 1

2. How to calculate the greatest common divisor of 724, 242, 135, 493?

We can find the highest common divisor of 724, 242, 135, 493 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, 242, 135, 493 i.e 1.

3. How can I use the GCD of 724, 242, 135, 493Calculator?

Out the numbers 724, 242, 135, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.