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 807, 359, 401, 888 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 359, 401, 888 is 1
GCD(807, 359, 401, 888) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 359, 401, 888 is 1
GCD(807, 359, 401, 888) = 1
Given Input numbers are 807, 359, 401, 888
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Greatest Common Divisior
We found the divisors of 807, 359, 401, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 359, 401, 888 is 1.
Therefore, GCD of numbers 807, 359, 401, 888 is 1
Given Input Data is 807, 359, 401, 888
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 359 is 359
Prime Factorization of 401 is 401
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
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(807, 359) = 289713
GCD(807, 359) = ( 807 x 359 ) / 289713
GCD(807, 359) = 289713 / 289713
GCD(807, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
GCD(1, 401) = 401 / 401
GCD(1, 401) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 888) = 888
GCD(1, 888) = ( 1 x 888 ) / 888
GCD(1, 888) = 888 / 888
GCD(1, 888) = 1
GCD of 807, 359, 401, 888 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 359, 401, 888?
GCD of 807, 359, 401, 888 is 1
2. Where do I get the detailed procedure to find GCD of 807, 359, 401, 888?
You can find a detailed procedure to find GCD of 807, 359, 401, 888 on our page.
3. How to find GCD of 807, 359, 401, 888 on a calculator?
You can find the GCD of 807, 359, 401, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.