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 59, 154, 176, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 154, 176, 884 is 1
GCD(59, 154, 176, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 154, 176, 884 is 1
GCD(59, 154, 176, 884) = 1
Given Input numbers are 59, 154, 176, 884
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 59, 154, 176, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 154, 176, 884 is 1.
Therefore, GCD of numbers 59, 154, 176, 884 is 1
Given Input Data is 59, 154, 176, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 884 is 2 x 2 x 13 x 17
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(59, 154) = 9086
GCD(59, 154) = ( 59 x 154 ) / 9086
GCD(59, 154) = 9086 / 9086
GCD(59, 154) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 884) = 884
GCD(1, 884) = ( 1 x 884 ) / 884
GCD(1, 884) = 884 / 884
GCD(1, 884) = 1
GCD of 59, 154, 176, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 154, 176, 884?
GCD of 59, 154, 176, 884 is 1
2. Where do I get the detailed procedure to find GCD of 59, 154, 176, 884?
You can find a detailed procedure to find GCD of 59, 154, 176, 884 on our page.
3. How to find GCD of 59, 154, 176, 884 on a calculator?
You can find the GCD of 59, 154, 176, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.