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 720, 602, 61, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 602, 61, 120 is 1
GCD(720, 602, 61, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 602, 61, 120 is 1
GCD(720, 602, 61, 120) = 1
Given Input numbers are 720, 602, 61, 120
To find the GCD of numbers using factoring list out all the divisors of each number
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 720, 602, 61, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 602, 61, 120 is 1.
Therefore, GCD of numbers 720, 602, 61, 120 is 1
Given Input Data is 720, 602, 61, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 61 is 61
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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(720, 602) = 216720
GCD(720, 602) = ( 720 x 602 ) / 216720
GCD(720, 602) = 433440 / 216720
GCD(720, 602) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 720, 602, 61, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 602, 61, 120?
GCD of 720, 602, 61, 120 is 1
2. Where do I get the detailed procedure to find GCD of 720, 602, 61, 120?
You can find a detailed procedure to find GCD of 720, 602, 61, 120 on our page.
3. How to find GCD of 720, 602, 61, 120 on a calculator?
You can find the GCD of 720, 602, 61, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.