GCD of 924, 864, 970, 345 Calculator

Given Input numbers are 924, 864, 970, 345

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 924, 864, 970, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 864, 970, 345 is 1.

Therefore, GCD of numbers 924, 864, 970, 345 is 1

Given Input Data is 924, 864, 970, 345

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 345 is 3 x 5 x 23

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(924, 864) = 66528

GCD(924, 864) = ( 924 x 864 ) / 66528

GCD(924, 864) = 798336 / 66528

GCD(924, 864) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 970

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

LCM(12, 970) = 5820

GCD(12, 970) = ( 12 x 970 ) / 5820

GCD(12, 970) = 11640 / 5820

GCD(12, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 924, 864, 970, 345 is 1

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1. What is the GCD of 924, 864, 970, 345?

GCD of 924, 864, 970, 345 is 1

2. Where do I get the detailed procedure to find GCD of 924, 864, 970, 345?

You can find a detailed procedure to find GCD of 924, 864, 970, 345 on our page.

3. How to find GCD of 924, 864, 970, 345 on a calculator?

You can find the GCD of 924, 864, 970, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.