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 436, 958, 45, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 958, 45, 152 is 1
GCD(436, 958, 45, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 958, 45, 152 is 1
GCD(436, 958, 45, 152) = 1
Given Input numbers are 436, 958, 45, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 436, 958, 45, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 958, 45, 152 is 1.
Therefore, GCD of numbers 436, 958, 45, 152 is 1
Given Input Data is 436, 958, 45, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 958 is 2 x 479
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 152 is 2 x 2 x 2 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(436, 958) = 208844
GCD(436, 958) = ( 436 x 958 ) / 208844
GCD(436, 958) = 417688 / 208844
GCD(436, 958) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
GCD(2, 45) = 90 / 90
GCD(2, 45) = 1
Step3:
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
GCD of 436, 958, 45, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 958, 45, 152?
GCD of 436, 958, 45, 152 is 1
2. Where do I get the detailed procedure to find GCD of 436, 958, 45, 152?
You can find a detailed procedure to find GCD of 436, 958, 45, 152 on our page.
3. How to find GCD of 436, 958, 45, 152 on a calculator?
You can find the GCD of 436, 958, 45, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.