GCD of 690, 472, 763, 868 Calculator

Given Input numbers are 690, 472, 763, 868

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 690, 472, 763, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 472, 763, 868 is 1.

Therefore, GCD of numbers 690, 472, 763, 868 is 1

Given Input Data is 690, 472, 763, 868

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 763 is 7 x 109

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(690, 472) = 162840

GCD(690, 472) = ( 690 x 472 ) / 162840

GCD(690, 472) = 325680 / 162840

GCD(690, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 690, 472, 763, 868 is 1

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1. What is the GCD of 690, 472, 763, 868?

GCD of 690, 472, 763, 868 is 1

2. Where do I get the detailed procedure to find GCD of 690, 472, 763, 868?

You can find a detailed procedure to find GCD of 690, 472, 763, 868 on our page.

3. How to find GCD of 690, 472, 763, 868 on a calculator?

You can find the GCD of 690, 472, 763, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.