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 380, 943, 46 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 943, 46 is 1
GCD(380, 943, 46) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 943, 46 is 1
GCD(380, 943, 46) = 1
Given Input numbers are 380, 943, 46
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Greatest Common Divisior
We found the divisors of 380, 943, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 943, 46 is 1.
Therefore, GCD of numbers 380, 943, 46 is 1
Given Input Data is 380, 943, 46
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 943 is 23 x 41
Prime Factorization of 46 is 2 x 23
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(380, 943) = 358340
GCD(380, 943) = ( 380 x 943 ) / 358340
GCD(380, 943) = 358340 / 358340
GCD(380, 943) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
GCD of 380, 943, 46 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 943, 46?
GCD of 380, 943, 46 is 1
2. Where do I get the detailed procedure to find GCD of 380, 943, 46?
You can find a detailed procedure to find GCD of 380, 943, 46 on our page.
3. How to find GCD of 380, 943, 46 on a calculator?
You can find the GCD of 380, 943, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.