GCD of 185, 921, 730, 960 Calculator

Given Input numbers are 185, 921, 730, 960

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

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 185, 921, 730, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 921, 730, 960 is 1.

Therefore, GCD of numbers 185, 921, 730, 960 is 1

Given Input Data is 185, 921, 730, 960

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 921 is 3 x 307

Prime Factorization of 730 is 2 x 5 x 73

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(185, 921) = 170385

GCD(185, 921) = ( 185 x 921 ) / 170385

GCD(185, 921) = 170385 / 170385

GCD(185, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 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 185, 921, 730, 960 is 1

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1. What is the GCD of 185, 921, 730, 960?

GCD of 185, 921, 730, 960 is 1

2. Where do I get the detailed procedure to find GCD of 185, 921, 730, 960?

You can find a detailed procedure to find GCD of 185, 921, 730, 960 on our page.

3. How to find GCD of 185, 921, 730, 960 on a calculator?

You can find the GCD of 185, 921, 730, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.