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 57, 342, 316, 546 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 342, 316, 546 is 1
GCD(57, 342, 316, 546) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 342, 316, 546 is 1
GCD(57, 342, 316, 546) = 1
Given Input numbers are 57, 342, 316, 546
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Greatest Common Divisior
We found the divisors of 57, 342, 316, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 342, 316, 546 is 1.
Therefore, GCD of numbers 57, 342, 316, 546 is 1
Given Input Data is 57, 342, 316, 546
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 546 is 2 x 3 x 7 x 13
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(57, 342) = 342
GCD(57, 342) = ( 57 x 342 ) / 342
GCD(57, 342) = 19494 / 342
GCD(57, 342) = 57
Step2:
Here we consider the GCD from the above i.e. 57 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(57, 316) = 18012
GCD(57, 316) = ( 57 x 316 ) / 18012
GCD(57, 316) = 18012 / 18012
GCD(57, 316) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
GCD(1, 546) = 546 / 546
GCD(1, 546) = 1
GCD of 57, 342, 316, 546 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 342, 316, 546?
GCD of 57, 342, 316, 546 is 1
2. Where do I get the detailed procedure to find GCD of 57, 342, 316, 546?
You can find a detailed procedure to find GCD of 57, 342, 316, 546 on our page.
3. How to find GCD of 57, 342, 316, 546 on a calculator?
You can find the GCD of 57, 342, 316, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.