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 18, 757, 152, 456 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 757, 152, 456 is 1
GCD(18, 757, 152, 456) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 757, 152, 456 is 1
GCD(18, 757, 152, 456) = 1
Given Input numbers are 18, 757, 152, 456
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Greatest Common Divisior
We found the divisors of 18, 757, 152, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 757, 152, 456 is 1.
Therefore, GCD of numbers 18, 757, 152, 456 is 1
Given Input Data is 18, 757, 152, 456
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 757 is 757
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
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(18, 757) = 13626
GCD(18, 757) = ( 18 x 757 ) / 13626
GCD(18, 757) = 13626 / 13626
GCD(18, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
GCD of 18, 757, 152, 456 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 757, 152, 456?
GCD of 18, 757, 152, 456 is 1
2. Where do I get the detailed procedure to find GCD of 18, 757, 152, 456?
You can find a detailed procedure to find GCD of 18, 757, 152, 456 on our page.
3. How to find GCD of 18, 757, 152, 456 on a calculator?
You can find the GCD of 18, 757, 152, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.