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, 775, 976, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 775, 976, 138 is 1
GCD(888, 775, 976, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 775, 976, 138 is 1
GCD(888, 775, 976, 138) = 1
Given Input numbers are 888, 775, 976, 138
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 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 888, 775, 976, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 775, 976, 138 is 1.
Therefore, GCD of numbers 888, 775, 976, 138 is 1
Given Input Data is 888, 775, 976, 138
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 775 is 5 x 5 x 31
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 138 is 2 x 3 x 23
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, 775) = 688200
GCD(888, 775) = ( 888 x 775 ) / 688200
GCD(888, 775) = 688200 / 688200
GCD(888, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 888, 775, 976, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 775, 976, 138?
GCD of 888, 775, 976, 138 is 1
2. Where do I get the detailed procedure to find GCD of 888, 775, 976, 138?
You can find a detailed procedure to find GCD of 888, 775, 976, 138 on our page.
3. How to find GCD of 888, 775, 976, 138 on a calculator?
You can find the GCD of 888, 775, 976, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.