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 217, 956, 684, 577 i.e. 1 largest integer that divides all the numbers equally.
GCD of 217, 956, 684, 577 is 1
GCD(217, 956, 684, 577) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 217, 956, 684, 577 is 1
GCD(217, 956, 684, 577) = 1
Given Input numbers are 217, 956, 684, 577
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
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
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Greatest Common Divisior
We found the divisors of 217, 956, 684, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 956, 684, 577 is 1.
Therefore, GCD of numbers 217, 956, 684, 577 is 1
Given Input Data is 217, 956, 684, 577
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 217 is 7 x 31
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 577 is 577
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(217, 956) = 207452
GCD(217, 956) = ( 217 x 956 ) / 207452
GCD(217, 956) = 207452 / 207452
GCD(217, 956) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
GCD(1, 577) = 577 / 577
GCD(1, 577) = 1
GCD of 217, 956, 684, 577 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 217, 956, 684, 577?
GCD of 217, 956, 684, 577 is 1
2. Where do I get the detailed procedure to find GCD of 217, 956, 684, 577?
You can find a detailed procedure to find GCD of 217, 956, 684, 577 on our page.
3. How to find GCD of 217, 956, 684, 577 on a calculator?
You can find the GCD of 217, 956, 684, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.