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 numbers 800, 542, 65, 751 is 1
GCD(800, 542, 65, 751) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.