GCD of 108, 375, 493, 297 Calculator

Given Input numbers are 108, 375, 493, 297

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

GCD of numbers is the greatest common divisor

So, the GCD (108, 375, 493, 297) = 1.

Given numbers are 108, 375, 493, 297

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 493 are 17 x 29

Prime factors of 297 are 3 x 3 x 3 x 11

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

Given numbers are 108, 375, 493, 297

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

Apply this formula for all numbers.

Step1:

LCM(108, 375) = 13500

GCD(108, 375) = ( 108 x 375 ) / 13500

= 108 / 375

= 108

Step2:

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

= 3 / 493

= 3

Step3:

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

= 1 / 297

= 1

So, Greatest Common Divisor of 108, 375, 493, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 405, 261, 277
• GCD of 469, 921, 873, 194
• GCD of 381, 414, 111, 878
• GCD of 706, 629, 735, 106
• GCD of 317, 514, 581, 839

Given numbers are 108, 375, 493, 297
The greatest common divisor of numbers 108, 375, 493, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 375, 493, 297 is 1.

1. What is the GCD of 108, 375, 493, 297?

GCD of given numbers 108, 375, 493, 297 is 1

2. How to calculate the greatest common divisor of 108, 375, 493, 297?

We can find the highest common divisor of 108, 375, 493, 297 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 108, 375, 493, 297 i.e 1.

3. How can I use the GCD of 108, 375, 493, 297Calculator?

Out the numbers 108, 375, 493, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.