GCD of 531, 685, 750, 714 Calculator

Given Input numbers are 531, 685, 750, 714

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 531, 685, 750, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 685, 750, 714 is 1.

Therefore, GCD of numbers 531, 685, 750, 714 is 1

Given Input Data is 531, 685, 750, 714

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 685 is 5 x 137

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 714 is 2 x 3 x 7 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(531, 685) = 363735

GCD(531, 685) = ( 531 x 685 ) / 363735

GCD(531, 685) = 363735 / 363735

GCD(531, 685) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 531, 685, 750, 714 is 1

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1. What is the GCD of 531, 685, 750, 714?

GCD of 531, 685, 750, 714 is 1

2. Where do I get the detailed procedure to find GCD of 531, 685, 750, 714?

You can find a detailed procedure to find GCD of 531, 685, 750, 714 on our page.

3. How to find GCD of 531, 685, 750, 714 on a calculator?

You can find the GCD of 531, 685, 750, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.