GCD of 527, 984, 215, 680 Calculator

Given Input numbers are 527, 984, 215, 680

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 527, 984, 215, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 984, 215, 680 is 1.

Therefore, GCD of numbers 527, 984, 215, 680 is 1

Given Input Data is 527, 984, 215, 680

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 215 is 5 x 43

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(527, 984) = 518568

GCD(527, 984) = ( 527 x 984 ) / 518568

GCD(527, 984) = 518568 / 518568

GCD(527, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 527, 984, 215, 680 is 1

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1. What is the GCD of 527, 984, 215, 680?

GCD of 527, 984, 215, 680 is 1

2. Where do I get the detailed procedure to find GCD of 527, 984, 215, 680?

You can find a detailed procedure to find GCD of 527, 984, 215, 680 on our page.

3. How to find GCD of 527, 984, 215, 680 on a calculator?

You can find the GCD of 527, 984, 215, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.