GCD of 984, 216, 742, 469 Calculator

Given Input numbers are 984, 216, 742, 469

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (984, 216, 742, 469) = 1.

Given numbers are 984, 216, 742, 469

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 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 469 are 7 x 67

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

Given numbers are 984, 216, 742, 469

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

Apply this formula for all numbers.

Step1:

LCM(984, 216) = 8856

GCD(984, 216) = ( 984 x 216 ) / 8856

= 984 / 216

= 984

Step2:

LCM(24, 742) = 8904

GCD(24, 742) = ( 24 x 742 ) / 8904

= 24 / 742

= 24

Step3:

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

= 2 / 469

= 2

So, Greatest Common Divisor of 984, 216, 742, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 920, 576, 230
• GCD of 594, 791, 209, 899
• GCD of 813, 927, 355, 704
• GCD of 909, 819, 664, 786
• GCD of 767, 797, 239, 167

Given numbers are 984, 216, 742, 469
The greatest common divisor of numbers 984, 216, 742, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 216, 742, 469 is 1.

1. What is the GCD of 984, 216, 742, 469?

GCD of given numbers 984, 216, 742, 469 is 1

2. How to calculate the greatest common divisor of 984, 216, 742, 469?

We can find the highest common divisor of 984, 216, 742, 469 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, 216, 742, 469 i.e 1.

3. How can I use the GCD of 984, 216, 742, 469Calculator?

Out the numbers 984, 216, 742, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.