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 154, 115, 69, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 115, 69, 472 is 1
GCD(154, 115, 69, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 115, 69, 472 is 1
GCD(154, 115, 69, 472) = 1
Given Input numbers are 154, 115, 69, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 154, 115, 69, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 115, 69, 472 is 1.
Therefore, GCD of numbers 154, 115, 69, 472 is 1
Given Input Data is 154, 115, 69, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 115 is 5 x 23
Prime Factorization of 69 is 3 x 23
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(154, 115) = 17710
GCD(154, 115) = ( 154 x 115 ) / 17710
GCD(154, 115) = 17710 / 17710
GCD(154, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 154, 115, 69, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 115, 69, 472?
GCD of 154, 115, 69, 472 is 1
2. Where do I get the detailed procedure to find GCD of 154, 115, 69, 472?
You can find a detailed procedure to find GCD of 154, 115, 69, 472 on our page.
3. How to find GCD of 154, 115, 69, 472 on a calculator?
You can find the GCD of 154, 115, 69, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.