GCD of 361, 849, 432, 960 Calculator

Given Input numbers are 361, 849, 432, 960

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 361, 849, 432, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 849, 432, 960 is 1.

Therefore, GCD of numbers 361, 849, 432, 960 is 1

Given Input Data is 361, 849, 432, 960

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 849 is 3 x 283

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(361, 849) = 306489

GCD(361, 849) = ( 361 x 849 ) / 306489

GCD(361, 849) = 306489 / 306489

GCD(361, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

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

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 361, 849, 432, 960 is 1

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1. What is the GCD of 361, 849, 432, 960?

GCD of 361, 849, 432, 960 is 1

2. Where do I get the detailed procedure to find GCD of 361, 849, 432, 960?

You can find a detailed procedure to find GCD of 361, 849, 432, 960 on our page.

3. How to find GCD of 361, 849, 432, 960 on a calculator?

You can find the GCD of 361, 849, 432, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.