GCD of 826, 542, 91, 723 Calculator

Given Input numbers are 826, 542, 91, 723

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

Divisors of 826

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

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 826, 542, 91, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 542, 91, 723 is 1.

Therefore, GCD of numbers 826, 542, 91, 723 is 1

Given Input Data is 826, 542, 91, 723

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 542 is 2 x 271

Prime Factorization of 91 is 7 x 13

Prime Factorization of 723 is 3 x 241

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(826, 542) = 223846

GCD(826, 542) = ( 826 x 542 ) / 223846

GCD(826, 542) = 447692 / 223846

GCD(826, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 826, 542, 91, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 837, 86, 930
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• GCD of 929, 654, 39, 401

1. What is the GCD of 826, 542, 91, 723?

GCD of 826, 542, 91, 723 is 1

2. Where do I get the detailed procedure to find GCD of 826, 542, 91, 723?

You can find a detailed procedure to find GCD of 826, 542, 91, 723 on our page.

3. How to find GCD of 826, 542, 91, 723 on a calculator?

You can find the GCD of 826, 542, 91, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.