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, 577, 36, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 577, 36, 139 is 1
GCD(800, 577, 36, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 577, 36, 139 is 1
GCD(800, 577, 36, 139) = 1
Given Input numbers are 800, 577, 36, 139
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 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 800, 577, 36, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 577, 36, 139 is 1.
Therefore, GCD of numbers 800, 577, 36, 139 is 1
Given Input Data is 800, 577, 36, 139
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 577 is 577
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 139 is 139
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, 577) = 461600
GCD(800, 577) = ( 800 x 577 ) / 461600
GCD(800, 577) = 461600 / 461600
GCD(800, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 800, 577, 36, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 577, 36, 139?
GCD of 800, 577, 36, 139 is 1
2. Where do I get the detailed procedure to find GCD of 800, 577, 36, 139?
You can find a detailed procedure to find GCD of 800, 577, 36, 139 on our page.
3. How to find GCD of 800, 577, 36, 139 on a calculator?
You can find the GCD of 800, 577, 36, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.