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 975, 586, 651, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 586, 651, 826 is 1
GCD(975, 586, 651, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 586, 651, 826 is 1
GCD(975, 586, 651, 826) = 1
Given Input numbers are 975, 586, 651, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 975, 586, 651, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 586, 651, 826 is 1.
Therefore, GCD of numbers 975, 586, 651, 826 is 1
Given Input Data is 975, 586, 651, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 586 is 2 x 293
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 826 is 2 x 7 x 59
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(975, 586) = 571350
GCD(975, 586) = ( 975 x 586 ) / 571350
GCD(975, 586) = 571350 / 571350
GCD(975, 586) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 975, 586, 651, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 586, 651, 826?
GCD of 975, 586, 651, 826 is 1
2. Where do I get the detailed procedure to find GCD of 975, 586, 651, 826?
You can find a detailed procedure to find GCD of 975, 586, 651, 826 on our page.
3. How to find GCD of 975, 586, 651, 826 on a calculator?
You can find the GCD of 975, 586, 651, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.