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, 901, 373, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 901, 373, 684 is 1
GCD(987, 901, 373, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 901, 373, 684 is 1
GCD(987, 901, 373, 684) = 1
Given Input numbers are 987, 901, 373, 684
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 987, 901, 373, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 901, 373, 684 is 1.
Therefore, GCD of numbers 987, 901, 373, 684 is 1
Given Input Data is 987, 901, 373, 684
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 901 is 17 x 53
Prime Factorization of 373 is 373
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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, 901) = 889287
GCD(987, 901) = ( 987 x 901 ) / 889287
GCD(987, 901) = 889287 / 889287
GCD(987, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 373) = 373
GCD(1, 373) = ( 1 x 373 ) / 373
GCD(1, 373) = 373 / 373
GCD(1, 373) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 987, 901, 373, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 901, 373, 684?
GCD of 987, 901, 373, 684 is 1
2. Where do I get the detailed procedure to find GCD of 987, 901, 373, 684?
You can find a detailed procedure to find GCD of 987, 901, 373, 684 on our page.
3. How to find GCD of 987, 901, 373, 684 on a calculator?
You can find the GCD of 987, 901, 373, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.