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 87, 652, 901, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 652, 901, 982 is 1
GCD(87, 652, 901, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 652, 901, 982 is 1
GCD(87, 652, 901, 982) = 1
Given Input numbers are 87, 652, 901, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 87, 652, 901, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 652, 901, 982 is 1.
Therefore, GCD of numbers 87, 652, 901, 982 is 1
Given Input Data is 87, 652, 901, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 901 is 17 x 53
Prime Factorization of 982 is 2 x 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(87, 652) = 56724
GCD(87, 652) = ( 87 x 652 ) / 56724
GCD(87, 652) = 56724 / 56724
GCD(87, 652) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 87, 652, 901, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 652, 901, 982?
GCD of 87, 652, 901, 982 is 1
2. Where do I get the detailed procedure to find GCD of 87, 652, 901, 982?
You can find a detailed procedure to find GCD of 87, 652, 901, 982 on our page.
3. How to find GCD of 87, 652, 901, 982 on a calculator?
You can find the GCD of 87, 652, 901, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.