GCD of 495, 984, 432, 344 Calculator

Given Input numbers are 495, 984, 432, 344

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (495, 984, 432, 344) = 1.

Given numbers are 495, 984, 432, 344

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

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

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

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 495, 984, 432, 344

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

Apply this formula for all numbers.

Step1:

LCM(495, 984) = 162360

GCD(495, 984) = ( 495 x 984 ) / 162360

= 495 / 984

= 495

Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3

Step3:

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

= 3 / 344

= 3

So, Greatest Common Divisor of 495, 984, 432, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 990, 720, 717
• GCD of 828, 257, 483, 803
• GCD of 153, 165, 149, 844
• GCD of 956, 548, 656, 295
• GCD of 548, 497, 537, 159

Given numbers are 495, 984, 432, 344
The greatest common divisor of numbers 495, 984, 432, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 984, 432, 344 is 1.

1. What is the GCD of 495, 984, 432, 344?

GCD of given numbers 495, 984, 432, 344 is 1

2. How to calculate the greatest common divisor of 495, 984, 432, 344?

We can find the highest common divisor of 495, 984, 432, 344 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 495, 984, 432, 344 i.e 1.

3. How can I use the GCD of 495, 984, 432, 344Calculator?

Out the numbers 495, 984, 432, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.