GCD of 984, 234, 909, 109 Calculator

Given Input numbers are 984, 234, 909, 109

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 909 :

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

1, 3, 9, 101, 303, 909

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (984, 234, 909, 109) = 1.

Given numbers are 984, 234, 909, 109

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 909 are 3 x 3 x 101

Prime factors of 109 are 109

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

Given numbers are 984, 234, 909, 109

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

Apply this formula for all numbers.

Step1:

LCM(984, 234) = 38376

GCD(984, 234) = ( 984 x 234 ) / 38376

= 984 / 234

= 984

Step2:

LCM(6, 909) = 1818

GCD(6, 909) = ( 6 x 909 ) / 1818

= 6 / 909

= 6

Step3:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

So, Greatest Common Divisor of 984, 234, 909, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 442, 594, 625
• GCD of 644, 564, 294, 446
• GCD of 572, 173, 246, 819
• GCD of 679, 751, 863, 702
• GCD of 417, 306, 383, 505

Given numbers are 984, 234, 909, 109
The greatest common divisor of numbers 984, 234, 909, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 234, 909, 109 is 1.

1. What is the GCD of 984, 234, 909, 109?

GCD of given numbers 984, 234, 909, 109 is 1

2. How to calculate the greatest common divisor of 984, 234, 909, 109?

We can find the highest common divisor of 984, 234, 909, 109 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 984, 234, 909, 109 i.e 1.

3. How can I use the GCD of 984, 234, 909, 109Calculator?

Out the numbers 984, 234, 909, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.