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 29, 650, 278, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 650, 278, 146 is 1
GCD(29, 650, 278, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 650, 278, 146 is 1
GCD(29, 650, 278, 146) = 1
Given Input numbers are 29, 650, 278, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 29, 650, 278, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 650, 278, 146 is 1.
Therefore, GCD of numbers 29, 650, 278, 146 is 1
Given Input Data is 29, 650, 278, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 278 is 2 x 139
Prime Factorization of 146 is 2 x 73
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(29, 650) = 18850
GCD(29, 650) = ( 29 x 650 ) / 18850
GCD(29, 650) = 18850 / 18850
GCD(29, 650) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 29, 650, 278, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 650, 278, 146?
GCD of 29, 650, 278, 146 is 1
2. Where do I get the detailed procedure to find GCD of 29, 650, 278, 146?
You can find a detailed procedure to find GCD of 29, 650, 278, 146 on our page.
3. How to find GCD of 29, 650, 278, 146 on a calculator?
You can find the GCD of 29, 650, 278, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.