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 365, 955, 94, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 955, 94, 987 is 1
GCD(365, 955, 94, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 955, 94, 987 is 1
GCD(365, 955, 94, 987) = 1
Given Input numbers are 365, 955, 94, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 365, 955, 94, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 955, 94, 987 is 1.
Therefore, GCD of numbers 365, 955, 94, 987 is 1
Given Input Data is 365, 955, 94, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 955 is 5 x 191
Prime Factorization of 94 is 2 x 47
Prime Factorization of 987 is 3 x 7 x 47
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(365, 955) = 69715
GCD(365, 955) = ( 365 x 955 ) / 69715
GCD(365, 955) = 348575 / 69715
GCD(365, 955) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 94) = 470
GCD(5, 94) = ( 5 x 94 ) / 470
GCD(5, 94) = 470 / 470
GCD(5, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 365, 955, 94, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 955, 94, 987?
GCD of 365, 955, 94, 987 is 1
2. Where do I get the detailed procedure to find GCD of 365, 955, 94, 987?
You can find a detailed procedure to find GCD of 365, 955, 94, 987 on our page.
3. How to find GCD of 365, 955, 94, 987 on a calculator?
You can find the GCD of 365, 955, 94, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.