GCD of 826, 973, 49, 268 Calculator

Given Input numbers are 826, 973, 49, 268

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 826, 973, 49, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 973, 49, 268 is 1.

Therefore, GCD of numbers 826, 973, 49, 268 is 1

Given Input Data is 826, 973, 49, 268

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 973 is 7 x 139

Prime Factorization of 49 is 7 x 7

Prime Factorization of 268 is 2 x 2 x 67

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, 973) = 114814

GCD(826, 973) = ( 826 x 973 ) / 114814

GCD(826, 973) = 803698 / 114814

GCD(826, 973) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 49

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

LCM(7, 49) = 49

GCD(7, 49) = ( 7 x 49 ) / 49

GCD(7, 49) = 343 / 49

GCD(7, 49) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 268

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

LCM(7, 268) = 1876

GCD(7, 268) = ( 7 x 268 ) / 1876

GCD(7, 268) = 1876 / 1876

GCD(7, 268) = 1

GCD of 826, 973, 49, 268 is 1

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1. What is the GCD of 826, 973, 49, 268?

GCD of 826, 973, 49, 268 is 1

2. Where do I get the detailed procedure to find GCD of 826, 973, 49, 268?

You can find a detailed procedure to find GCD of 826, 973, 49, 268 on our page.

3. How to find GCD of 826, 973, 49, 268 on a calculator?

You can find the GCD of 826, 973, 49, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.