GCD of 688, 812, 211, 692 Calculator

Given Input numbers are 688, 812, 211, 692

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 688, 812, 211, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 812, 211, 692 is 1.

Therefore, GCD of numbers 688, 812, 211, 692 is 1

Given Input Data is 688, 812, 211, 692

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 812 is 2 x 2 x 7 x 29

Prime Factorization of 211 is 211

Prime Factorization of 692 is 2 x 2 x 173

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, 812) = 139664

GCD(688, 812) = ( 688 x 812 ) / 139664

GCD(688, 812) = 558656 / 139664

GCD(688, 812) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 211

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

LCM(4, 211) = 844

GCD(4, 211) = ( 4 x 211 ) / 844

GCD(4, 211) = 844 / 844

GCD(4, 211) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 688, 812, 211, 692 is 1

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1. What is the GCD of 688, 812, 211, 692?

GCD of 688, 812, 211, 692 is 1

2. Where do I get the detailed procedure to find GCD of 688, 812, 211, 692?

You can find a detailed procedure to find GCD of 688, 812, 211, 692 on our page.

3. How to find GCD of 688, 812, 211, 692 on a calculator?

You can find the GCD of 688, 812, 211, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.