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, 467, 935, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 467, 935, 465 is 1
GCD(120, 467, 935, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 467, 935, 465 is 1
GCD(120, 467, 935, 465) = 1
Given Input numbers are 120, 467, 935, 465
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 120, 467, 935, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 467, 935, 465 is 1.
Therefore, GCD of numbers 120, 467, 935, 465 is 1
Given Input Data is 120, 467, 935, 465
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 467 is 467
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 465 is 3 x 5 x 31
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, 467) = 56040
GCD(120, 467) = ( 120 x 467 ) / 56040
GCD(120, 467) = 56040 / 56040
GCD(120, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
GCD of 120, 467, 935, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 467, 935, 465?
GCD of 120, 467, 935, 465 is 1
2. Where do I get the detailed procedure to find GCD of 120, 467, 935, 465?
You can find a detailed procedure to find GCD of 120, 467, 935, 465 on our page.
3. How to find GCD of 120, 467, 935, 465 on a calculator?
You can find the GCD of 120, 467, 935, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.