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, 943, 52, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 943, 52, 146 is 1
GCD(574, 943, 52, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 943, 52, 146 is 1
GCD(574, 943, 52, 146) = 1
Given Input numbers are 574, 943, 52, 146
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 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 574, 943, 52, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 943, 52, 146 is 1.
Therefore, GCD of numbers 574, 943, 52, 146 is 1
Given Input Data is 574, 943, 52, 146
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 943 is 23 x 41
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 146 is 2 x 73
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, 943) = 13202
GCD(574, 943) = ( 574 x 943 ) / 13202
GCD(574, 943) = 541282 / 13202
GCD(574, 943) = 41
Step2:
Here we consider the GCD from the above i.e. 41 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 52) = 2132
GCD(41, 52) = ( 41 x 52 ) / 2132
GCD(41, 52) = 2132 / 2132
GCD(41, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 574, 943, 52, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 943, 52, 146?
GCD of 574, 943, 52, 146 is 1
2. Where do I get the detailed procedure to find GCD of 574, 943, 52, 146?
You can find a detailed procedure to find GCD of 574, 943, 52, 146 on our page.
3. How to find GCD of 574, 943, 52, 146 on a calculator?
You can find the GCD of 574, 943, 52, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.