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 909, 412, 43, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 412, 43, 153 is 1
GCD(909, 412, 43, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 412, 43, 153 is 1
GCD(909, 412, 43, 153) = 1
Given Input numbers are 909, 412, 43, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 909, 412, 43, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 412, 43, 153 is 1.
Therefore, GCD of numbers 909, 412, 43, 153 is 1
Given Input Data is 909, 412, 43, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 43 is 43
Prime Factorization of 153 is 3 x 3 x 17
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(909, 412) = 374508
GCD(909, 412) = ( 909 x 412 ) / 374508
GCD(909, 412) = 374508 / 374508
GCD(909, 412) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 909, 412, 43, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 412, 43, 153?
GCD of 909, 412, 43, 153 is 1
2. Where do I get the detailed procedure to find GCD of 909, 412, 43, 153?
You can find a detailed procedure to find GCD of 909, 412, 43, 153 on our page.
3. How to find GCD of 909, 412, 43, 153 on a calculator?
You can find the GCD of 909, 412, 43, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.