GCD of 924, 615, 374, 730 Calculator

Given Input numbers are 924, 615, 374, 730

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 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 730

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

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

Greatest Common Divisior

We found the divisors of 924, 615, 374, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 615, 374, 730 is 1.

Therefore, GCD of numbers 924, 615, 374, 730 is 1

Given Input Data is 924, 615, 374, 730

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 615 is 3 x 5 x 41

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 730 is 2 x 5 x 73

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, 615) = 189420

GCD(924, 615) = ( 924 x 615 ) / 189420

GCD(924, 615) = 568260 / 189420

GCD(924, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 374

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

LCM(3, 374) = 1122

GCD(3, 374) = ( 3 x 374 ) / 1122

GCD(3, 374) = 1122 / 1122

GCD(3, 374) = 1

Step3:

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

GCD of 924, 615, 374, 730 is 1

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1. What is the GCD of 924, 615, 374, 730?

GCD of 924, 615, 374, 730 is 1

2. Where do I get the detailed procedure to find GCD of 924, 615, 374, 730?

You can find a detailed procedure to find GCD of 924, 615, 374, 730 on our page.

3. How to find GCD of 924, 615, 374, 730 on a calculator?

You can find the GCD of 924, 615, 374, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.