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 650, 658, 303, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 650, 658, 303, 146 is 1
GCD(650, 658, 303, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 650, 658, 303, 146 is 1
GCD(650, 658, 303, 146) = 1
Given Input numbers are 650, 658, 303, 146
To find the GCD of numbers using factoring list out all the divisors of each number
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 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
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 650, 658, 303, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 658, 303, 146 is 1.
Therefore, GCD of numbers 650, 658, 303, 146 is 1
Given Input Data is 650, 658, 303, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 303 is 3 x 101
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(650, 658) = 213850
GCD(650, 658) = ( 650 x 658 ) / 213850
GCD(650, 658) = 427700 / 213850
GCD(650, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 303) = 606
GCD(2, 303) = ( 2 x 303 ) / 606
GCD(2, 303) = 606 / 606
GCD(2, 303) = 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 650, 658, 303, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 650, 658, 303, 146?
GCD of 650, 658, 303, 146 is 1
2. Where do I get the detailed procedure to find GCD of 650, 658, 303, 146?
You can find a detailed procedure to find GCD of 650, 658, 303, 146 on our page.
3. How to find GCD of 650, 658, 303, 146 on a calculator?
You can find the GCD of 650, 658, 303, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.