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, 748, 65, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 748, 65, 981 is 1
GCD(800, 748, 65, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 748, 65, 981 is 1
GCD(800, 748, 65, 981) = 1
Given Input numbers are 800, 748, 65, 981
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 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 800, 748, 65, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 748, 65, 981 is 1.
Therefore, GCD of numbers 800, 748, 65, 981 is 1
Given Input Data is 800, 748, 65, 981
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 748 is 2 x 2 x 11 x 17
Prime Factorization of 65 is 5 x 13
Prime Factorization of 981 is 3 x 3 x 109
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, 748) = 149600
GCD(800, 748) = ( 800 x 748 ) / 149600
GCD(800, 748) = 598400 / 149600
GCD(800, 748) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 65) = 260
GCD(4, 65) = ( 4 x 65 ) / 260
GCD(4, 65) = 260 / 260
GCD(4, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 800, 748, 65, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 748, 65, 981?
GCD of 800, 748, 65, 981 is 1
2. Where do I get the detailed procedure to find GCD of 800, 748, 65, 981?
You can find a detailed procedure to find GCD of 800, 748, 65, 981 on our page.
3. How to find GCD of 800, 748, 65, 981 on a calculator?
You can find the GCD of 800, 748, 65, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.