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 943, 690, 575, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 943, 690, 575, 438 is 1
GCD(943, 690, 575, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 943, 690, 575, 438 is 1
GCD(943, 690, 575, 438) = 1
Given Input numbers are 943, 690, 575, 438
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 943, 690, 575, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 690, 575, 438 is 1.
Therefore, GCD of numbers 943, 690, 575, 438 is 1
Given Input Data is 943, 690, 575, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 943 is 23 x 41
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 438 is 2 x 3 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(943, 690) = 28290
GCD(943, 690) = ( 943 x 690 ) / 28290
GCD(943, 690) = 650670 / 28290
GCD(943, 690) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 575) = 575
GCD(23, 575) = ( 23 x 575 ) / 575
GCD(23, 575) = 13225 / 575
GCD(23, 575) = 23
Step3:
Here we consider the GCD from the above i.e. 23 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 438) = 10074
GCD(23, 438) = ( 23 x 438 ) / 10074
GCD(23, 438) = 10074 / 10074
GCD(23, 438) = 1
GCD of 943, 690, 575, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 943, 690, 575, 438?
GCD of 943, 690, 575, 438 is 1
2. Where do I get the detailed procedure to find GCD of 943, 690, 575, 438?
You can find a detailed procedure to find GCD of 943, 690, 575, 438 on our page.
3. How to find GCD of 943, 690, 575, 438 on a calculator?
You can find the GCD of 943, 690, 575, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.