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 243, 704, 72, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 704, 72, 628 is 1
GCD(243, 704, 72, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 704, 72, 628 is 1
GCD(243, 704, 72, 628) = 1
Given Input numbers are 243, 704, 72, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 243, 704, 72, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 704, 72, 628 is 1.
Therefore, GCD of numbers 243, 704, 72, 628 is 1
Given Input Data is 243, 704, 72, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 628 is 2 x 2 x 157
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(243, 704) = 171072
GCD(243, 704) = ( 243 x 704 ) / 171072
GCD(243, 704) = 171072 / 171072
GCD(243, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 243, 704, 72, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 704, 72, 628?
GCD of 243, 704, 72, 628 is 1
2. Where do I get the detailed procedure to find GCD of 243, 704, 72, 628?
You can find a detailed procedure to find GCD of 243, 704, 72, 628 on our page.
3. How to find GCD of 243, 704, 72, 628 on a calculator?
You can find the GCD of 243, 704, 72, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.