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 658, 720, 33, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 720, 33, 367 is 1
GCD(658, 720, 33, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 720, 33, 367 is 1
GCD(658, 720, 33, 367) = 1
Given Input numbers are 658, 720, 33, 367
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 658, 720, 33, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 720, 33, 367 is 1.
Therefore, GCD of numbers 658, 720, 33, 367 is 1
Given Input Data is 658, 720, 33, 367
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 33 is 3 x 11
Prime Factorization of 367 is 367
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(658, 720) = 236880
GCD(658, 720) = ( 658 x 720 ) / 236880
GCD(658, 720) = 473760 / 236880
GCD(658, 720) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 33) = 66
GCD(2, 33) = ( 2 x 33 ) / 66
GCD(2, 33) = 66 / 66
GCD(2, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 658, 720, 33, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 720, 33, 367?
GCD of 658, 720, 33, 367 is 1
2. Where do I get the detailed procedure to find GCD of 658, 720, 33, 367?
You can find a detailed procedure to find GCD of 658, 720, 33, 367 on our page.
3. How to find GCD of 658, 720, 33, 367 on a calculator?
You can find the GCD of 658, 720, 33, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.