GCD of 767, 320, 826, 871 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 767, 320, 826, 871 i.e. 1 largest integer that divides all the numbers equally.

GCD of 767, 320, 826, 871 is 1

GCD(767, 320, 826, 871) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 767, 320, 826, 871 is 1

GCD(767, 320, 826, 871) = 1

GCD of 767,320,826,871 Calculator

GCDof 767,320,826,871 is 1

Given Input numbers are 767, 320, 826, 871

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 767, 320, 826, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 320, 826, 871 is 1.

Therefore, GCD of numbers 767, 320, 826, 871 is 1

Finding GCD of 767, 320, 826, 871 using Prime Factorization

Given Input Data is 767, 320, 826, 871

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 871 is 13 x 67

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 767, 320, 826, 871 using LCM Formula

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(767, 320) = 245440

GCD(767, 320) = ( 767 x 320 ) / 245440

GCD(767, 320) = 245440 / 245440

GCD(767, 320) = 1


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 767, 320, 826, 871 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 767, 320, 826, 871

1. What is the GCD of 767, 320, 826, 871?

GCD of 767, 320, 826, 871 is 1


2. Where do I get the detailed procedure to find GCD of 767, 320, 826, 871?

You can find a detailed procedure to find GCD of 767, 320, 826, 871 on our page.


3. How to find GCD of 767, 320, 826, 871 on a calculator?

You can find the GCD of 767, 320, 826, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.