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 954, 342, 84, 541 i.e. 1 largest integer that divides all the numbers equally.
GCD of 954, 342, 84, 541 is 1
GCD(954, 342, 84, 541) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 342, 84, 541 is 1
GCD(954, 342, 84, 541) = 1
Given Input numbers are 954, 342, 84, 541
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Greatest Common Divisior
We found the divisors of 954, 342, 84, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 342, 84, 541 is 1.
Therefore, GCD of numbers 954, 342, 84, 541 is 1
Given Input Data is 954, 342, 84, 541
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 541 is 541
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(954, 342) = 18126
GCD(954, 342) = ( 954 x 342 ) / 18126
GCD(954, 342) = 326268 / 18126
GCD(954, 342) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 84) = 252
GCD(18, 84) = ( 18 x 84 ) / 252
GCD(18, 84) = 1512 / 252
GCD(18, 84) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 541) = 3246
GCD(6, 541) = ( 6 x 541 ) / 3246
GCD(6, 541) = 3246 / 3246
GCD(6, 541) = 1
GCD of 954, 342, 84, 541 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 342, 84, 541?
GCD of 954, 342, 84, 541 is 1
2. Where do I get the detailed procedure to find GCD of 954, 342, 84, 541?
You can find a detailed procedure to find GCD of 954, 342, 84, 541 on our page.
3. How to find GCD of 954, 342, 84, 541 on a calculator?
You can find the GCD of 954, 342, 84, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.