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 179, 987, 764, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 179, 987, 764, 491 is 1
GCD(179, 987, 764, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 179, 987, 764, 491 is 1
GCD(179, 987, 764, 491) = 1
Given Input numbers are 179, 987, 764, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 179, 987, 764, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 987, 764, 491 is 1.
Therefore, GCD of numbers 179, 987, 764, 491 is 1
Given Input Data is 179, 987, 764, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 179 is 179
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 491 is 491
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(179, 987) = 176673
GCD(179, 987) = ( 179 x 987 ) / 176673
GCD(179, 987) = 176673 / 176673
GCD(179, 987) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 179, 987, 764, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 179, 987, 764, 491?
GCD of 179, 987, 764, 491 is 1
2. Where do I get the detailed procedure to find GCD of 179, 987, 764, 491?
You can find a detailed procedure to find GCD of 179, 987, 764, 491 on our page.
3. How to find GCD of 179, 987, 764, 491 on a calculator?
You can find the GCD of 179, 987, 764, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.