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 824, 657, 68, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 657, 68, 981 is 1
GCD(824, 657, 68, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 657, 68, 981 is 1
GCD(824, 657, 68, 981) = 1
Given Input numbers are 824, 657, 68, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 824, 657, 68, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 657, 68, 981 is 1.
Therefore, GCD of numbers 824, 657, 68, 981 is 1
Given Input Data is 824, 657, 68, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 981 is 3 x 3 x 109
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(824, 657) = 541368
GCD(824, 657) = ( 824 x 657 ) / 541368
GCD(824, 657) = 541368 / 541368
GCD(824, 657) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 824, 657, 68, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 657, 68, 981?
GCD of 824, 657, 68, 981 is 1
2. Where do I get the detailed procedure to find GCD of 824, 657, 68, 981?
You can find a detailed procedure to find GCD of 824, 657, 68, 981 on our page.
3. How to find GCD of 824, 657, 68, 981 on a calculator?
You can find the GCD of 824, 657, 68, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.