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 362, 989, 943, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 989, 943, 954 is 1
GCD(362, 989, 943, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 989, 943, 954 is 1
GCD(362, 989, 943, 954) = 1
Given Input numbers are 362, 989, 943, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 362, 989, 943, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 989, 943, 954 is 1.
Therefore, GCD of numbers 362, 989, 943, 954 is 1
Given Input Data is 362, 989, 943, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 989 is 23 x 43
Prime Factorization of 943 is 23 x 41
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(362, 989) = 358018
GCD(362, 989) = ( 362 x 989 ) / 358018
GCD(362, 989) = 358018 / 358018
GCD(362, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 943) = 943
GCD(1, 943) = ( 1 x 943 ) / 943
GCD(1, 943) = 943 / 943
GCD(1, 943) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 362, 989, 943, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 989, 943, 954?
GCD of 362, 989, 943, 954 is 1
2. Where do I get the detailed procedure to find GCD of 362, 989, 943, 954?
You can find a detailed procedure to find GCD of 362, 989, 943, 954 on our page.
3. How to find GCD of 362, 989, 943, 954 on a calculator?
You can find the GCD of 362, 989, 943, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.