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 953, 558, 956, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 953, 558, 956, 428 is 1
GCD(953, 558, 956, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 953, 558, 956, 428 is 1
GCD(953, 558, 956, 428) = 1
Given Input numbers are 953, 558, 956, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 953, 558, 956, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 558, 956, 428 is 1.
Therefore, GCD of numbers 953, 558, 956, 428 is 1
Given Input Data is 953, 558, 956, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 953 is 953
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 428 is 2 x 2 x 107
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(953, 558) = 531774
GCD(953, 558) = ( 953 x 558 ) / 531774
GCD(953, 558) = 531774 / 531774
GCD(953, 558) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 953, 558, 956, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 953, 558, 956, 428?
GCD of 953, 558, 956, 428 is 1
2. Where do I get the detailed procedure to find GCD of 953, 558, 956, 428?
You can find a detailed procedure to find GCD of 953, 558, 956, 428 on our page.
3. How to find GCD of 953, 558, 956, 428 on a calculator?
You can find the GCD of 953, 558, 956, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.