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 546, 347, 12, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 347, 12, 153 is 1
GCD(546, 347, 12, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 347, 12, 153 is 1
GCD(546, 347, 12, 153) = 1
Given Input numbers are 546, 347, 12, 153
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 546, 347, 12, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 347, 12, 153 is 1.
Therefore, GCD of numbers 546, 347, 12, 153 is 1
Given Input Data is 546, 347, 12, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 347 is 347
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 153 is 3 x 3 x 17
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(546, 347) = 189462
GCD(546, 347) = ( 546 x 347 ) / 189462
GCD(546, 347) = 189462 / 189462
GCD(546, 347) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 546, 347, 12, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 347, 12, 153?
GCD of 546, 347, 12, 153 is 1
2. Where do I get the detailed procedure to find GCD of 546, 347, 12, 153?
You can find a detailed procedure to find GCD of 546, 347, 12, 153 on our page.
3. How to find GCD of 546, 347, 12, 153 on a calculator?
You can find the GCD of 546, 347, 12, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.