GCD of 821, 826, 649, 716 Calculator

Given Input numbers are 821, 826, 649, 716

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 821, 826, 649, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 826, 649, 716 is 1.

Therefore, GCD of numbers 821, 826, 649, 716 is 1

Given Input Data is 821, 826, 649, 716

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

Prime Factorization of 821 is 821

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 649 is 11 x 59

Prime Factorization of 716 is 2 x 2 x 179

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(821, 826) = 678146

GCD(821, 826) = ( 821 x 826 ) / 678146

GCD(821, 826) = 678146 / 678146

GCD(821, 826) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 821, 826, 649, 716 is 1

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• GCD of 169, 651, 261, 143
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• GCD of 843, 192, 101, 335

1. What is the GCD of 821, 826, 649, 716?

GCD of 821, 826, 649, 716 is 1

2. Where do I get the detailed procedure to find GCD of 821, 826, 649, 716?

You can find a detailed procedure to find GCD of 821, 826, 649, 716 on our page.

3. How to find GCD of 821, 826, 649, 716 on a calculator?

You can find the GCD of 821, 826, 649, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.