GCD of 530, 628, 69, 686 Calculator

Given Input numbers are 530, 628, 69, 686

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 530, 628, 69, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 628, 69, 686 is 1.

Therefore, GCD of numbers 530, 628, 69, 686 is 1

Given Input Data is 530, 628, 69, 686

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 69 is 3 x 23

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(530, 628) = 166420

GCD(530, 628) = ( 530 x 628 ) / 166420

GCD(530, 628) = 332840 / 166420

GCD(530, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 530, 628, 69, 686 is 1

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1. What is the GCD of 530, 628, 69, 686?

GCD of 530, 628, 69, 686 is 1

2. Where do I get the detailed procedure to find GCD of 530, 628, 69, 686?

You can find a detailed procedure to find GCD of 530, 628, 69, 686 on our page.

3. How to find GCD of 530, 628, 69, 686 on a calculator?

You can find the GCD of 530, 628, 69, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.