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 43, 952, 918, 694 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 952, 918, 694 is 1
GCD(43, 952, 918, 694) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 952, 918, 694 is 1
GCD(43, 952, 918, 694) = 1
Given Input numbers are 43, 952, 918, 694
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Greatest Common Divisior
We found the divisors of 43, 952, 918, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 952, 918, 694 is 1.
Therefore, GCD of numbers 43, 952, 918, 694 is 1
Given Input Data is 43, 952, 918, 694
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 694 is 2 x 347
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(43, 952) = 40936
GCD(43, 952) = ( 43 x 952 ) / 40936
GCD(43, 952) = 40936 / 40936
GCD(43, 952) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
GCD of 43, 952, 918, 694 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 952, 918, 694?
GCD of 43, 952, 918, 694 is 1
2. Where do I get the detailed procedure to find GCD of 43, 952, 918, 694?
You can find a detailed procedure to find GCD of 43, 952, 918, 694 on our page.
3. How to find GCD of 43, 952, 918, 694 on a calculator?
You can find the GCD of 43, 952, 918, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.