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 570, 625, 40, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 570, 625, 40, 954 is 1
GCD(570, 625, 40, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 625, 40, 954 is 1
GCD(570, 625, 40, 954) = 1
Given Input numbers are 570, 625, 40, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 570, 625, 40, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 625, 40, 954 is 1.
Therefore, GCD of numbers 570, 625, 40, 954 is 1
Given Input Data is 570, 625, 40, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(570, 625) = 71250
GCD(570, 625) = ( 570 x 625 ) / 71250
GCD(570, 625) = 356250 / 71250
GCD(570, 625) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 40) = 40
GCD(5, 40) = ( 5 x 40 ) / 40
GCD(5, 40) = 200 / 40
GCD(5, 40) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 954) = 4770
GCD(5, 954) = ( 5 x 954 ) / 4770
GCD(5, 954) = 4770 / 4770
GCD(5, 954) = 1
GCD of 570, 625, 40, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 625, 40, 954?
GCD of 570, 625, 40, 954 is 1
2. Where do I get the detailed procedure to find GCD of 570, 625, 40, 954?
You can find a detailed procedure to find GCD of 570, 625, 40, 954 on our page.
3. How to find GCD of 570, 625, 40, 954 on a calculator?
You can find the GCD of 570, 625, 40, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.