GCD of 688, 822, 913, 428 Calculator

Given Input numbers are 688, 822, 913, 428

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 688, 822, 913, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 822, 913, 428 is 1.

Therefore, GCD of numbers 688, 822, 913, 428 is 1

Given Input Data is 688, 822, 913, 428

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 913 is 11 x 83

Prime Factorization of 428 is 2 x 2 x 107

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(688, 822) = 282768

GCD(688, 822) = ( 688 x 822 ) / 282768

GCD(688, 822) = 565536 / 282768

GCD(688, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 688, 822, 913, 428 is 1

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• GCD of 253, 708, 572, 990
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1. What is the GCD of 688, 822, 913, 428?

GCD of 688, 822, 913, 428 is 1

2. Where do I get the detailed procedure to find GCD of 688, 822, 913, 428?

You can find a detailed procedure to find GCD of 688, 822, 913, 428 on our page.

3. How to find GCD of 688, 822, 913, 428 on a calculator?

You can find the GCD of 688, 822, 913, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.