GCD of 827, 774, 688, 343 Calculator

Given Input numbers are 827, 774, 688, 343

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 827, 774, 688, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 774, 688, 343 is 1.

Therefore, GCD of numbers 827, 774, 688, 343 is 1

Given Input Data is 827, 774, 688, 343

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

Prime Factorization of 827 is 827

Prime Factorization of 774 is 2 x 3 x 3 x 43

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

Prime Factorization of 343 is 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(827, 774) = 640098

GCD(827, 774) = ( 827 x 774 ) / 640098

GCD(827, 774) = 640098 / 640098

GCD(827, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 827, 774, 688, 343 is 1

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• GCD of 654, 382, 113, 591
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1. What is the GCD of 827, 774, 688, 343?

GCD of 827, 774, 688, 343 is 1

2. Where do I get the detailed procedure to find GCD of 827, 774, 688, 343?

You can find a detailed procedure to find GCD of 827, 774, 688, 343 on our page.

3. How to find GCD of 827, 774, 688, 343 on a calculator?

You can find the GCD of 827, 774, 688, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.