GCD of 882, 826, 778, 637 Calculator

Given Input numbers are 882, 826, 778, 637

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 882, 826, 778, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 826, 778, 637 is 1.

Therefore, GCD of numbers 882, 826, 778, 637 is 1

Given Input Data is 882, 826, 778, 637

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 778 is 2 x 389

Prime Factorization of 637 is 7 x 7 x 13

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(882, 826) = 52038

GCD(882, 826) = ( 882 x 826 ) / 52038

GCD(882, 826) = 728532 / 52038

GCD(882, 826) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 778

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

LCM(14, 778) = 5446

GCD(14, 778) = ( 14 x 778 ) / 5446

GCD(14, 778) = 10892 / 5446

GCD(14, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

GCD of 882, 826, 778, 637 is 1

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1. What is the GCD of 882, 826, 778, 637?

GCD of 882, 826, 778, 637 is 1

2. Where do I get the detailed procedure to find GCD of 882, 826, 778, 637?

You can find a detailed procedure to find GCD of 882, 826, 778, 637 on our page.

3. How to find GCD of 882, 826, 778, 637 on a calculator?

You can find the GCD of 882, 826, 778, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.