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 120, 240, 73, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 240, 73, 735 is 1
GCD(120, 240, 73, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 240, 73, 735 is 1
GCD(120, 240, 73, 735) = 1
Given Input numbers are 120, 240, 73, 735
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 120, 240, 73, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 240, 73, 735 is 1.
Therefore, GCD of numbers 120, 240, 73, 735 is 1
Given Input Data is 120, 240, 73, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 73 is 73
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(120, 240) = 240
GCD(120, 240) = ( 120 x 240 ) / 240
GCD(120, 240) = 28800 / 240
GCD(120, 240) = 120
Step2:
Here we consider the GCD from the above i.e. 120 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(120, 73) = 8760
GCD(120, 73) = ( 120 x 73 ) / 8760
GCD(120, 73) = 8760 / 8760
GCD(120, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
GCD of 120, 240, 73, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 240, 73, 735?
GCD of 120, 240, 73, 735 is 1
2. Where do I get the detailed procedure to find GCD of 120, 240, 73, 735?
You can find a detailed procedure to find GCD of 120, 240, 73, 735 on our page.
3. How to find GCD of 120, 240, 73, 735 on a calculator?
You can find the GCD of 120, 240, 73, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.