GCD of 108, 408, 703, 558 Calculator

Given Input numbers are 108, 408, 703, 558

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 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

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (108, 408, 703, 558) = 1.

Given numbers are 108, 408, 703, 558

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 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 703 are 19 x 37

Prime factors of 558 are 2 x 3 x 3 x 31

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

Given numbers are 108, 408, 703, 558

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

Apply this formula for all numbers.

Step1:

LCM(108, 408) = 3672

GCD(108, 408) = ( 108 x 408 ) / 3672

= 108 / 408

= 108

Step2:

LCM(12, 703) = 8436

GCD(12, 703) = ( 12 x 703 ) / 8436

= 12 / 703

= 12

Step3:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

So, Greatest Common Divisor of 108, 408, 703, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 605, 959, 712
• GCD of 848, 167, 103, 513
• GCD of 970, 645, 628, 664
• GCD of 142, 324, 193, 480
• GCD of 327, 995, 604, 194

Given numbers are 108, 408, 703, 558
The greatest common divisor of numbers 108, 408, 703, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 408, 703, 558 is 1.

1. What is the GCD of 108, 408, 703, 558?

GCD of given numbers 108, 408, 703, 558 is 1

2. How to calculate the greatest common divisor of 108, 408, 703, 558?

We can find the highest common divisor of 108, 408, 703, 558 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, 408, 703, 558 i.e 1.

3. How can I use the GCD of 108, 408, 703, 558Calculator?

Out the numbers 108, 408, 703, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.