GCD of 493, 624, 687, 497 Calculator

Given Input numbers are 493, 624, 687, 497

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (493, 624, 687, 497) = 1.

Given numbers are 493, 624, 687, 497

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 687 are 3 x 229

Prime factors of 497 are 7 x 71

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

Given numbers are 493, 624, 687, 497

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

Apply this formula for all numbers.

Step1:

LCM(493, 624) = 307632

GCD(493, 624) = ( 493 x 624 ) / 307632

= 493 / 624

= 493

Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

Step3:

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

= 1 / 497

= 1

So, Greatest Common Divisor of 493, 624, 687, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 879, 810, 880
• GCD of 282, 677, 965, 907
• GCD of 726, 768, 710, 994
• GCD of 358, 414, 933, 420
• GCD of 707, 217, 688, 293

Given numbers are 493, 624, 687, 497
The greatest common divisor of numbers 493, 624, 687, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 624, 687, 497 is 1.

1. What is the GCD of 493, 624, 687, 497?

GCD of given numbers 493, 624, 687, 497 is 1

2. How to calculate the greatest common divisor of 493, 624, 687, 497?

We can find the highest common divisor of 493, 624, 687, 497 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, 624, 687, 497 i.e 1.

3. How can I use the GCD of 493, 624, 687, 497Calculator?

Out the numbers 493, 624, 687, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.