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 888, 688, 55, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 688, 55, 401 is 1
GCD(888, 688, 55, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 688, 55, 401 is 1
GCD(888, 688, 55, 401) = 1
Given Input numbers are 888, 688, 55, 401
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 888, 688, 55, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 688, 55, 401 is 1.
Therefore, GCD of numbers 888, 688, 55, 401 is 1
Given Input Data is 888, 688, 55, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 55 is 5 x 11
Prime Factorization of 401 is 401
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(888, 688) = 76368
GCD(888, 688) = ( 888 x 688 ) / 76368
GCD(888, 688) = 610944 / 76368
GCD(888, 688) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 55) = 440
GCD(8, 55) = ( 8 x 55 ) / 440
GCD(8, 55) = 440 / 440
GCD(8, 55) = 1
Step3:
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
GCD of 888, 688, 55, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 688, 55, 401?
GCD of 888, 688, 55, 401 is 1
2. Where do I get the detailed procedure to find GCD of 888, 688, 55, 401?
You can find a detailed procedure to find GCD of 888, 688, 55, 401 on our page.
3. How to find GCD of 888, 688, 55, 401 on a calculator?
You can find the GCD of 888, 688, 55, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.