GCD of 557, 731, 830, 826 Calculator

Given Input numbers are 557, 731, 830, 826

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 557, 731, 830, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 731, 830, 826 is 1.

Therefore, GCD of numbers 557, 731, 830, 826 is 1

Given Input Data is 557, 731, 830, 826

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

Prime Factorization of 557 is 557

Prime Factorization of 731 is 17 x 43

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 826 is 2 x 7 x 59

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(557, 731) = 407167

GCD(557, 731) = ( 557 x 731 ) / 407167

GCD(557, 731) = 407167 / 407167

GCD(557, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 557, 731, 830, 826 is 1

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1. What is the GCD of 557, 731, 830, 826?

GCD of 557, 731, 830, 826 is 1

2. Where do I get the detailed procedure to find GCD of 557, 731, 830, 826?

You can find a detailed procedure to find GCD of 557, 731, 830, 826 on our page.

3. How to find GCD of 557, 731, 830, 826 on a calculator?

You can find the GCD of 557, 731, 830, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.