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 146, 605, 754, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 146, 605, 754, 878 is 1
GCD(146, 605, 754, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 605, 754, 878 is 1
GCD(146, 605, 754, 878) = 1
Given Input numbers are 146, 605, 754, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 146, 605, 754, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 605, 754, 878 is 1.
Therefore, GCD of numbers 146, 605, 754, 878 is 1
Given Input Data is 146, 605, 754, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 878 is 2 x 439
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(146, 605) = 88330
GCD(146, 605) = ( 146 x 605 ) / 88330
GCD(146, 605) = 88330 / 88330
GCD(146, 605) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 146, 605, 754, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 605, 754, 878?
GCD of 146, 605, 754, 878 is 1
2. Where do I get the detailed procedure to find GCD of 146, 605, 754, 878?
You can find a detailed procedure to find GCD of 146, 605, 754, 878 on our page.
3. How to find GCD of 146, 605, 754, 878 on a calculator?
You can find the GCD of 146, 605, 754, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.