GCD of 760, 893, 676, 826 Calculator

Given Input numbers are 760, 893, 676, 826

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 760, 893, 676, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 893, 676, 826 is 1.

Therefore, GCD of numbers 760, 893, 676, 826 is 1

Given Input Data is 760, 893, 676, 826

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 893 is 19 x 47

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(760, 893) = 35720

GCD(760, 893) = ( 760 x 893 ) / 35720

GCD(760, 893) = 678680 / 35720

GCD(760, 893) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 676

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

LCM(19, 676) = 12844

GCD(19, 676) = ( 19 x 676 ) / 12844

GCD(19, 676) = 12844 / 12844

GCD(19, 676) = 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 760, 893, 676, 826 is 1

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1. What is the GCD of 760, 893, 676, 826?

GCD of 760, 893, 676, 826 is 1

2. Where do I get the detailed procedure to find GCD of 760, 893, 676, 826?

You can find a detailed procedure to find GCD of 760, 893, 676, 826 on our page.

3. How to find GCD of 760, 893, 676, 826 on a calculator?

You can find the GCD of 760, 893, 676, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.