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 682, 987, 99, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 987, 99, 440 is 1
GCD(682, 987, 99, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 987, 99, 440 is 1
GCD(682, 987, 99, 440) = 1
Given Input numbers are 682, 987, 99, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
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 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 682, 987, 99, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 987, 99, 440 is 1.
Therefore, GCD of numbers 682, 987, 99, 440 is 1
Given Input Data is 682, 987, 99, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(682, 987) = 673134
GCD(682, 987) = ( 682 x 987 ) / 673134
GCD(682, 987) = 673134 / 673134
GCD(682, 987) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 682, 987, 99, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 987, 99, 440?
GCD of 682, 987, 99, 440 is 1
2. Where do I get the detailed procedure to find GCD of 682, 987, 99, 440?
You can find a detailed procedure to find GCD of 682, 987, 99, 440 on our page.
3. How to find GCD of 682, 987, 99, 440 on a calculator?
You can find the GCD of 682, 987, 99, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.