GCD of 493, 656, 267, 723 Calculator

Given Input numbers are 493, 656, 267, 723

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

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

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 (493, 656, 267, 723) = 1.

Given numbers are 493, 656, 267, 723

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 267 are 3 x 89

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 493, 656, 267, 723

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

Apply this formula for all numbers.

Step1:

LCM(493, 656) = 323408

GCD(493, 656) = ( 493 x 656 ) / 323408

= 493 / 656

= 493

Step2:

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

= 1 / 267

= 1

Step3:

LCM(1, 723) = 723

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

= 1 / 723

= 1

So, Greatest Common Divisor of 493, 656, 267, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 586, 191, 791
• GCD of 667, 255, 808, 117
• GCD of 680, 274, 661, 705
• GCD of 871, 818, 981, 920
• GCD of 472, 313, 526, 605

Given numbers are 493, 656, 267, 723
The greatest common divisor of numbers 493, 656, 267, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 656, 267, 723 is 1.

1. What is the GCD of 493, 656, 267, 723?

GCD of given numbers 493, 656, 267, 723 is 1

2. How to calculate the greatest common divisor of 493, 656, 267, 723?

We can find the highest common divisor of 493, 656, 267, 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 493, 656, 267, 723 i.e 1.

3. How can I use the GCD of 493, 656, 267, 723Calculator?

Out the numbers 493, 656, 267, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.