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, 357, 867, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 357, 867, 463 is 1
GCD(43, 357, 867, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 357, 867, 463 is 1
GCD(43, 357, 867, 463) = 1
Given Input numbers are 43, 357, 867, 463
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 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 43, 357, 867, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 357, 867, 463 is 1.
Therefore, GCD of numbers 43, 357, 867, 463 is 1
Given Input Data is 43, 357, 867, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 463 is 463
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, 357) = 15351
GCD(43, 357) = ( 43 x 357 ) / 15351
GCD(43, 357) = 15351 / 15351
GCD(43, 357) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
GCD of 43, 357, 867, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 357, 867, 463?
GCD of 43, 357, 867, 463 is 1
2. Where do I get the detailed procedure to find GCD of 43, 357, 867, 463?
You can find a detailed procedure to find GCD of 43, 357, 867, 463 on our page.
3. How to find GCD of 43, 357, 867, 463 on a calculator?
You can find the GCD of 43, 357, 867, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.