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 987, 736, 689, 181 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 736, 689, 181 is 1
GCD(987, 736, 689, 181) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 736, 689, 181 is 1
GCD(987, 736, 689, 181) = 1
Given Input numbers are 987, 736, 689, 181
To find the GCD of numbers using factoring list out all the divisors of each number
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 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Greatest Common Divisior
We found the divisors of 987, 736, 689, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 736, 689, 181 is 1.
Therefore, GCD of numbers 987, 736, 689, 181 is 1
Given Input Data is 987, 736, 689, 181
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 689 is 13 x 53
Prime Factorization of 181 is 181
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(987, 736) = 726432
GCD(987, 736) = ( 987 x 736 ) / 726432
GCD(987, 736) = 726432 / 726432
GCD(987, 736) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 181) = 181
GCD(1, 181) = ( 1 x 181 ) / 181
GCD(1, 181) = 181 / 181
GCD(1, 181) = 1
GCD of 987, 736, 689, 181 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 736, 689, 181?
GCD of 987, 736, 689, 181 is 1
2. Where do I get the detailed procedure to find GCD of 987, 736, 689, 181?
You can find a detailed procedure to find GCD of 987, 736, 689, 181 on our page.
3. How to find GCD of 987, 736, 689, 181 on a calculator?
You can find the GCD of 987, 736, 689, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.