GCD of 916, 315, 526, 730 Calculator

Given Input numbers are 916, 315, 526, 730

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

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 916, 315, 526, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 315, 526, 730 is 1.

Therefore, GCD of numbers 916, 315, 526, 730 is 1

Given Input Data is 916, 315, 526, 730

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 526 is 2 x 263

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(916, 315) = 288540

GCD(916, 315) = ( 916 x 315 ) / 288540

GCD(916, 315) = 288540 / 288540

GCD(916, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 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 916, 315, 526, 730 is 1

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1. What is the GCD of 916, 315, 526, 730?

GCD of 916, 315, 526, 730 is 1

2. Where do I get the detailed procedure to find GCD of 916, 315, 526, 730?

You can find a detailed procedure to find GCD of 916, 315, 526, 730 on our page.

3. How to find GCD of 916, 315, 526, 730 on a calculator?

You can find the GCD of 916, 315, 526, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.