GCD of 826, 921, 59, 765 Calculator

Given Input numbers are 826, 921, 59, 765

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 826, 921, 59, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 921, 59, 765 is 1.

Therefore, GCD of numbers 826, 921, 59, 765 is 1

Given Input Data is 826, 921, 59, 765

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 921 is 3 x 307

Prime Factorization of 59 is 59

Prime Factorization of 765 is 3 x 3 x 5 x 17

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, 921) = 760746

GCD(826, 921) = ( 826 x 921 ) / 760746

GCD(826, 921) = 760746 / 760746

GCD(826, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 826, 921, 59, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 201, 69, 426
• GCD of 272, 946, 19, 899
• GCD of 837, 387, 20, 817
• GCD of 648, 234, 86, 763
• GCD of 406, 864, 49, 336

1. What is the GCD of 826, 921, 59, 765?

GCD of 826, 921, 59, 765 is 1

2. Where do I get the detailed procedure to find GCD of 826, 921, 59, 765?

You can find a detailed procedure to find GCD of 826, 921, 59, 765 on our page.

3. How to find GCD of 826, 921, 59, 765 on a calculator?

You can find the GCD of 826, 921, 59, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.