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 574, 620, 501, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 620, 501, 954 is 1
GCD(574, 620, 501, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 620, 501, 954 is 1
GCD(574, 620, 501, 954) = 1
Given Input numbers are 574, 620, 501, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
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 574, 620, 501, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 620, 501, 954 is 1.
Therefore, GCD of numbers 574, 620, 501, 954 is 1
Given Input Data is 574, 620, 501, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 501 is 3 x 167
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(574, 620) = 177940
GCD(574, 620) = ( 574 x 620 ) / 177940
GCD(574, 620) = 355880 / 177940
GCD(574, 620) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 501) = 1002
GCD(2, 501) = ( 2 x 501 ) / 1002
GCD(2, 501) = 1002 / 1002
GCD(2, 501) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 574, 620, 501, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 620, 501, 954?
GCD of 574, 620, 501, 954 is 1
2. Where do I get the detailed procedure to find GCD of 574, 620, 501, 954?
You can find a detailed procedure to find GCD of 574, 620, 501, 954 on our page.
3. How to find GCD of 574, 620, 501, 954 on a calculator?
You can find the GCD of 574, 620, 501, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.