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, 156, 58, 657 i.e. 1 largest integer that divides all the numbers equally.
GCD of 888, 156, 58, 657 is 1
GCD(888, 156, 58, 657) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 888, 156, 58, 657 is 1
GCD(888, 156, 58, 657) = 1
Given Input numbers are 888, 156, 58, 657
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 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 888, 156, 58, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 156, 58, 657 is 1.
Therefore, GCD of numbers 888, 156, 58, 657 is 1
Given Input Data is 888, 156, 58, 657
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 156 is 2 x 2 x 3 x 13
Prime Factorization of 58 is 2 x 29
Prime Factorization of 657 is 3 x 3 x 73
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, 156) = 11544
GCD(888, 156) = ( 888 x 156 ) / 11544
GCD(888, 156) = 138528 / 11544
GCD(888, 156) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 58) = 348
GCD(12, 58) = ( 12 x 58 ) / 348
GCD(12, 58) = 696 / 348
GCD(12, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 657) = 1314
GCD(2, 657) = ( 2 x 657 ) / 1314
GCD(2, 657) = 1314 / 1314
GCD(2, 657) = 1
GCD of 888, 156, 58, 657 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 888, 156, 58, 657?
GCD of 888, 156, 58, 657 is 1
2. Where do I get the detailed procedure to find GCD of 888, 156, 58, 657?
You can find a detailed procedure to find GCD of 888, 156, 58, 657 on our page.
3. How to find GCD of 888, 156, 58, 657 on a calculator?
You can find the GCD of 888, 156, 58, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.