GCD of 800, 542, 65, 751 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, 542, 65, 751 i.e. 1 largest integer that divides all the numbers equally.

GCD of 800, 542, 65, 751 is 1

GCD(800, 542, 65, 751) = 1

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

GCD of

GCD of numbers 800, 542, 65, 751 is 1

GCD(800, 542, 65, 751) = 1

GCD of 800,542,65,751 Calculator

GCDof 800,542,65,751 is 1

Given Input numbers are 800, 542, 65, 751

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 800, 542, 65, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 542, 65, 751 is 1.

Therefore, GCD of numbers 800, 542, 65, 751 is 1

Finding GCD of 800, 542, 65, 751 using Prime Factorization

Given Input Data is 800, 542, 65, 751

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 542 is 2 x 271

Prime Factorization of 65 is 5 x 13

Prime Factorization of 751 is 751

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

Finding GCD of 800, 542, 65, 751 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, 542) = 216800

GCD(800, 542) = ( 800 x 542 ) / 216800

GCD(800, 542) = 433600 / 216800

GCD(800, 542) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 751

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

LCM(1, 751) = 751

GCD(1, 751) = ( 1 x 751 ) / 751

GCD(1, 751) = 751 / 751

GCD(1, 751) = 1

GCD of 800, 542, 65, 751 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 800, 542, 65, 751

1. What is the GCD of 800, 542, 65, 751?

GCD of 800, 542, 65, 751 is 1


2. Where do I get the detailed procedure to find GCD of 800, 542, 65, 751?

You can find a detailed procedure to find GCD of 800, 542, 65, 751 on our page.


3. How to find GCD of 800, 542, 65, 751 on a calculator?

You can find the GCD of 800, 542, 65, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.