GCD of 984, 790, 109, 432 Calculator

Given Input numbers are 984, 790, 109, 432

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 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 109 :

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

1, 109

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (984, 790, 109, 432) = 1.

Given numbers are 984, 790, 109, 432

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 790 are 2 x 5 x 79

Prime factors of 109 are 109

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 984, 790, 109, 432

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

Apply this formula for all numbers.

Step1:

LCM(984, 790) = 388680

GCD(984, 790) = ( 984 x 790 ) / 388680

= 984 / 790

= 984

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 984, 790, 109, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 422, 782, 975
• GCD of 905, 883, 898, 120
• GCD of 657, 991, 539, 306
• GCD of 755, 937, 752, 373
• GCD of 115, 931, 858, 916

Given numbers are 984, 790, 109, 432
The greatest common divisor of numbers 984, 790, 109, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 790, 109, 432 is 1.

1. What is the GCD of 984, 790, 109, 432?

GCD of given numbers 984, 790, 109, 432 is 1

2. How to calculate the greatest common divisor of 984, 790, 109, 432?

We can find the highest common divisor of 984, 790, 109, 432 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, 790, 109, 432 i.e 1.

3. How can I use the GCD of 984, 790, 109, 432Calculator?

Out the numbers 984, 790, 109, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.