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 368, 546, 363, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 546, 363, 948 is 1
GCD(368, 546, 363, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 546, 363, 948 is 1
GCD(368, 546, 363, 948) = 1
Given Input numbers are 368, 546, 363, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
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 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 368, 546, 363, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 546, 363, 948 is 1.
Therefore, GCD of numbers 368, 546, 363, 948 is 1
Given Input Data is 368, 546, 363, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(368, 546) = 100464
GCD(368, 546) = ( 368 x 546 ) / 100464
GCD(368, 546) = 200928 / 100464
GCD(368, 546) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 363) = 726
GCD(2, 363) = ( 2 x 363 ) / 726
GCD(2, 363) = 726 / 726
GCD(2, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 368, 546, 363, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 546, 363, 948?
GCD of 368, 546, 363, 948 is 1
2. Where do I get the detailed procedure to find GCD of 368, 546, 363, 948?
You can find a detailed procedure to find GCD of 368, 546, 363, 948 on our page.
3. How to find GCD of 368, 546, 363, 948 on a calculator?
You can find the GCD of 368, 546, 363, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.