GCD of 800, 846, 962, 777 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 800, 846, 962, 777 i.e. 1 largest integer that divides all the numbers equally.

GCD of 800, 846, 962, 777 is 1

GCD(800, 846, 962, 777) = 1

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

GCD of

GCD of numbers 800, 846, 962, 777 is 1

GCD(800, 846, 962, 777) = 1

GCD of 800,846,962,777 Calculator

GCDof 800,846,962,777 is 1

Given Input numbers are 800, 846, 962, 777

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 800, 846, 962, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 846, 962, 777 is 1.

Therefore, GCD of numbers 800, 846, 962, 777 is 1

Finding GCD of 800, 846, 962, 777 using Prime Factorization

Given Input Data is 800, 846, 962, 777

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 777 is 3 x 7 x 37

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

Finding GCD of 800, 846, 962, 777 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(800, 846) = 338400

GCD(800, 846) = ( 800 x 846 ) / 338400

GCD(800, 846) = 676800 / 338400

GCD(800, 846) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 777

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

LCM(2, 777) = 1554

GCD(2, 777) = ( 2 x 777 ) / 1554

GCD(2, 777) = 1554 / 1554

GCD(2, 777) = 1

GCD of 800, 846, 962, 777 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 800, 846, 962, 777

1. What is the GCD of 800, 846, 962, 777?

GCD of 800, 846, 962, 777 is 1


2. Where do I get the detailed procedure to find GCD of 800, 846, 962, 777?

You can find a detailed procedure to find GCD of 800, 846, 962, 777 on our page.


3. How to find GCD of 800, 846, 962, 777 on a calculator?

You can find the GCD of 800, 846, 962, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.