GCD of 108, 704, 493, 408 Calculator

Given Input numbers are 108, 704, 493, 408

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 493 :

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

1, 17, 29, 493

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (108, 704, 493, 408) = 1.

Given numbers are 108, 704, 493, 408

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 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 493 are 17 x 29

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Given numbers are 108, 704, 493, 408

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

Apply this formula for all numbers.

Step1:

LCM(108, 704) = 19008

GCD(108, 704) = ( 108 x 704 ) / 19008

= 108 / 704

= 108

Step2:

LCM(4, 493) = 1972

GCD(4, 493) = ( 4 x 493 ) / 1972

= 4 / 493

= 4

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 108, 704, 493, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 368, 942, 423
• GCD of 840, 189, 567, 200
• GCD of 776, 923, 960, 170
• GCD of 654, 839, 360, 671
• GCD of 713, 606, 959, 331

Given numbers are 108, 704, 493, 408
The greatest common divisor of numbers 108, 704, 493, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 704, 493, 408 is 1.

1. What is the GCD of 108, 704, 493, 408?

GCD of given numbers 108, 704, 493, 408 is 1

2. How to calculate the greatest common divisor of 108, 704, 493, 408?

We can find the highest common divisor of 108, 704, 493, 408 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, 704, 493, 408 i.e 1.

3. How can I use the GCD of 108, 704, 493, 408Calculator?

Out the numbers 108, 704, 493, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.