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 808, 664, 53, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 664, 53, 847 is 1
GCD(808, 664, 53, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 664, 53, 847 is 1
GCD(808, 664, 53, 847) = 1
Given Input numbers are 808, 664, 53, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 808, 664, 53, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 664, 53, 847 is 1.
Therefore, GCD of numbers 808, 664, 53, 847 is 1
Given Input Data is 808, 664, 53, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 53 is 53
Prime Factorization of 847 is 7 x 11 x 11
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(808, 664) = 67064
GCD(808, 664) = ( 808 x 664 ) / 67064
GCD(808, 664) = 536512 / 67064
GCD(808, 664) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 53) = 424
GCD(8, 53) = ( 8 x 53 ) / 424
GCD(8, 53) = 424 / 424
GCD(8, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
GCD of 808, 664, 53, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 664, 53, 847?
GCD of 808, 664, 53, 847 is 1
2. Where do I get the detailed procedure to find GCD of 808, 664, 53, 847?
You can find a detailed procedure to find GCD of 808, 664, 53, 847 on our page.
3. How to find GCD of 808, 664, 53, 847 on a calculator?
You can find the GCD of 808, 664, 53, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.