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 681, 648, 99, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 681, 648, 99, 959 is 1
GCD(681, 648, 99, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 648, 99, 959 is 1
GCD(681, 648, 99, 959) = 1
Given Input numbers are 681, 648, 99, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 681, 648, 99, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 648, 99, 959 is 1.
Therefore, GCD of numbers 681, 648, 99, 959 is 1
Given Input Data is 681, 648, 99, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 959 is 7 x 137
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(681, 648) = 147096
GCD(681, 648) = ( 681 x 648 ) / 147096
GCD(681, 648) = 441288 / 147096
GCD(681, 648) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
GCD(3, 99) = 297 / 99
GCD(3, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 959) = 2877
GCD(3, 959) = ( 3 x 959 ) / 2877
GCD(3, 959) = 2877 / 2877
GCD(3, 959) = 1
GCD of 681, 648, 99, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 648, 99, 959?
GCD of 681, 648, 99, 959 is 1
2. Where do I get the detailed procedure to find GCD of 681, 648, 99, 959?
You can find a detailed procedure to find GCD of 681, 648, 99, 959 on our page.
3. How to find GCD of 681, 648, 99, 959 on a calculator?
You can find the GCD of 681, 648, 99, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.