GCD of 108, 909, 214, 602 Calculator

Given Input numbers are 108, 909, 214, 602

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

GCD of numbers is the greatest common divisor

So, the GCD (108, 909, 214, 602) = 1.

Given numbers are 108, 909, 214, 602

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 909 are 3 x 3 x 101

Prime factors of 214 are 2 x 107

Prime factors of 602 are 2 x 7 x 43

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

Given numbers are 108, 909, 214, 602

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

Apply this formula for all numbers.

Step1:

LCM(108, 909) = 10908

GCD(108, 909) = ( 108 x 909 ) / 10908

= 108 / 909

= 108

Step2:

LCM(9, 214) = 1926

GCD(9, 214) = ( 9 x 214 ) / 1926

= 9 / 214

= 9

Step3:

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

= 1 / 602

= 1

So, Greatest Common Divisor of 108, 909, 214, 602 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 692, 273, 401
• GCD of 998, 211, 904, 149
• GCD of 324, 522, 968, 163
• GCD of 428, 734, 904, 322
• GCD of 315, 642, 127, 513

Given numbers are 108, 909, 214, 602
The greatest common divisor of numbers 108, 909, 214, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 909, 214, 602 is 1.

1. What is the GCD of 108, 909, 214, 602?

GCD of given numbers 108, 909, 214, 602 is 1

2. How to calculate the greatest common divisor of 108, 909, 214, 602?

We can find the highest common divisor of 108, 909, 214, 602 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, 909, 214, 602 i.e 1.

3. How can I use the GCD of 108, 909, 214, 602Calculator?

Out the numbers 108, 909, 214, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.