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, 573, 38, 379 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 573, 38, 379 is 1
GCD(987, 573, 38, 379) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 573, 38, 379 is 1
GCD(987, 573, 38, 379) = 1
Given Input numbers are 987, 573, 38, 379
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 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Greatest Common Divisior
We found the divisors of 987, 573, 38, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 573, 38, 379 is 1.
Therefore, GCD of numbers 987, 573, 38, 379 is 1
Given Input Data is 987, 573, 38, 379
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 573 is 3 x 191
Prime Factorization of 38 is 2 x 19
Prime Factorization of 379 is 379
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, 573) = 188517
GCD(987, 573) = ( 987 x 573 ) / 188517
GCD(987, 573) = 565551 / 188517
GCD(987, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 38) = 114
GCD(3, 38) = ( 3 x 38 ) / 114
GCD(3, 38) = 114 / 114
GCD(3, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
GCD of 987, 573, 38, 379 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 573, 38, 379?
GCD of 987, 573, 38, 379 is 1
2. Where do I get the detailed procedure to find GCD of 987, 573, 38, 379?
You can find a detailed procedure to find GCD of 987, 573, 38, 379 on our page.
3. How to find GCD of 987, 573, 38, 379 on a calculator?
You can find the GCD of 987, 573, 38, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.