GCD of 918, 724, 487, 528 Calculator

Given Input numbers are 918, 724, 487, 528

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 918, 724, 487, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 724, 487, 528 is 1.

Therefore, GCD of numbers 918, 724, 487, 528 is 1

Given Input Data is 918, 724, 487, 528

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 487 is 487

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(918, 724) = 332316

GCD(918, 724) = ( 918 x 724 ) / 332316

GCD(918, 724) = 664632 / 332316

GCD(918, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 487

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

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

GCD(2, 487) = 974 / 974

GCD(2, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 918, 724, 487, 528 is 1

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1. What is the GCD of 918, 724, 487, 528?

GCD of 918, 724, 487, 528 is 1

2. Where do I get the detailed procedure to find GCD of 918, 724, 487, 528?

You can find a detailed procedure to find GCD of 918, 724, 487, 528 on our page.

3. How to find GCD of 918, 724, 487, 528 on a calculator?

You can find the GCD of 918, 724, 487, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.