GCD of 494, 732, 72, 731 Calculator

Given Input numbers are 494, 732, 72, 731

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 (494, 732, 72, 731) = 1.

Given numbers are 494, 732, 72, 731

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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 494, 732, 72, 731

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

Apply this formula for all numbers.

Step1:

LCM(494, 732) = 180804

GCD(494, 732) = ( 494 x 732 ) / 180804

= 494 / 732

= 494

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 731) = 1462

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

= 2 / 731

= 2

So, Greatest Common Divisor of 494, 732, 72, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 419, 78, 169
• GCD of 971, 321, 98, 954
• GCD of 237, 568, 26, 697
• GCD of 603, 367, 71, 505
• GCD of 753, 768, 14, 205

Given numbers are 494, 732, 72, 731
The greatest common divisor of numbers 494, 732, 72, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 732, 72, 731 is 1.

1. What is the GCD of 494, 732, 72, 731?

GCD of given numbers 494, 732, 72, 731 is 1

2. How to calculate the greatest common divisor of 494, 732, 72, 731?

We can find the highest common divisor of 494, 732, 72, 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 494, 732, 72, 731 i.e 1.

3. How can I use the GCD of 494, 732, 72, 731Calculator?

Out the numbers 494, 732, 72, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.