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 364, 730, 272, 657 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 730, 272, 657 is 1
GCD(364, 730, 272, 657) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 730, 272, 657 is 1
GCD(364, 730, 272, 657) = 1
Given Input numbers are 364, 730, 272, 657
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 364, 730, 272, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 730, 272, 657 is 1.
Therefore, GCD of numbers 364, 730, 272, 657 is 1
Given Input Data is 364, 730, 272, 657
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 657 is 3 x 3 x 73
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(364, 730) = 132860
GCD(364, 730) = ( 364 x 730 ) / 132860
GCD(364, 730) = 265720 / 132860
GCD(364, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
GCD(2, 272) = 544 / 272
GCD(2, 272) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 657) = 1314
GCD(2, 657) = ( 2 x 657 ) / 1314
GCD(2, 657) = 1314 / 1314
GCD(2, 657) = 1
GCD of 364, 730, 272, 657 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 730, 272, 657?
GCD of 364, 730, 272, 657 is 1
2. Where do I get the detailed procedure to find GCD of 364, 730, 272, 657?
You can find a detailed procedure to find GCD of 364, 730, 272, 657 on our page.
3. How to find GCD of 364, 730, 272, 657 on a calculator?
You can find the GCD of 364, 730, 272, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.