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, 988, 53, 606 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 988, 53, 606 is 1
GCD(800, 988, 53, 606) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 988, 53, 606 is 1
GCD(800, 988, 53, 606) = 1
Given Input numbers are 800, 988, 53, 606
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 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 800, 988, 53, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 988, 53, 606 is 1.
Therefore, GCD of numbers 800, 988, 53, 606 is 1
Given Input Data is 800, 988, 53, 606
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 988 is 2 x 2 x 13 x 19
Prime Factorization of 53 is 53
Prime Factorization of 606 is 2 x 3 x 101
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, 988) = 197600
GCD(800, 988) = ( 800 x 988 ) / 197600
GCD(800, 988) = 790400 / 197600
GCD(800, 988) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 53) = 212
GCD(4, 53) = ( 4 x 53 ) / 212
GCD(4, 53) = 212 / 212
GCD(4, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 606) = 606
GCD(1, 606) = ( 1 x 606 ) / 606
GCD(1, 606) = 606 / 606
GCD(1, 606) = 1
GCD of 800, 988, 53, 606 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 988, 53, 606?
GCD of 800, 988, 53, 606 is 1
2. Where do I get the detailed procedure to find GCD of 800, 988, 53, 606?
You can find a detailed procedure to find GCD of 800, 988, 53, 606 on our page.
3. How to find GCD of 800, 988, 53, 606 on a calculator?
You can find the GCD of 800, 988, 53, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.