GCD of 495, 309, 432, 970 Calculator

Given Input numbers are 495, 309, 432, 970

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (495, 309, 432, 970) = 1.

Given numbers are 495, 309, 432, 970

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

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

Prime factors of 970 are 2 x 5 x 97

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

Given numbers are 495, 309, 432, 970

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

Apply this formula for all numbers.

Step1:

LCM(495, 309) = 50985

GCD(495, 309) = ( 495 x 309 ) / 50985

= 495 / 309

= 495

Step2:

LCM(3, 432) = 432

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

= 3 / 432

= 3

Step3:

LCM(3, 970) = 2910

GCD(3, 970) = ( 3 x 970 ) / 2910

= 3 / 970

= 3

So, Greatest Common Divisor of 495, 309, 432, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 420, 395, 488
• GCD of 221, 670, 762, 833
• GCD of 778, 706, 658, 678
• GCD of 930, 462, 492, 916
• GCD of 978, 936, 280, 455

Given numbers are 495, 309, 432, 970
The greatest common divisor of numbers 495, 309, 432, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 309, 432, 970 is 1.

1. What is the GCD of 495, 309, 432, 970?

GCD of given numbers 495, 309, 432, 970 is 1

2. How to calculate the greatest common divisor of 495, 309, 432, 970?

We can find the highest common divisor of 495, 309, 432, 970 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, 309, 432, 970 i.e 1.

3. How can I use the GCD of 495, 309, 432, 970Calculator?

Out the numbers 495, 309, 432, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.