GCD of 531, 986, 628, 750 Calculator

Given Input numbers are 531, 986, 628, 750

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 531, 986, 628, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 986, 628, 750 is 1.

Therefore, GCD of numbers 531, 986, 628, 750 is 1

Given Input Data is 531, 986, 628, 750

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 750 is 2 x 3 x 5 x 5 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(531, 986) = 523566

GCD(531, 986) = ( 531 x 986 ) / 523566

GCD(531, 986) = 523566 / 523566

GCD(531, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 531, 986, 628, 750 is 1

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1. What is the GCD of 531, 986, 628, 750?

GCD of 531, 986, 628, 750 is 1

2. Where do I get the detailed procedure to find GCD of 531, 986, 628, 750?

You can find a detailed procedure to find GCD of 531, 986, 628, 750 on our page.

3. How to find GCD of 531, 986, 628, 750 on a calculator?

You can find the GCD of 531, 986, 628, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.