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, 152, 998, 656 i.e. 2 largest integer that divides all the numbers equally.
GCD of 650, 152, 998, 656 is 2
GCD(650, 152, 998, 656) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 650, 152, 998, 656 is 2
GCD(650, 152, 998, 656) = 2
Given Input numbers are 650, 152, 998, 656
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 650, 152, 998, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 152, 998, 656 is 2.
Therefore, GCD of numbers 650, 152, 998, 656 is 2
Given Input Data is 650, 152, 998, 656
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 152 is 2 x 2 x 2 x 19
Prime Factorization of 998 is 2 x 499
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 152) = 49400
GCD(650, 152) = ( 650 x 152 ) / 49400
GCD(650, 152) = 98800 / 49400
GCD(650, 152) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
GCD(2, 998) = 1996 / 998
GCD(2, 998) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 656) = 656
GCD(2, 656) = ( 2 x 656 ) / 656
GCD(2, 656) = 1312 / 656
GCD(2, 656) = 2
GCD of 650, 152, 998, 656 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 650, 152, 998, 656?
GCD of 650, 152, 998, 656 is 2
2. Where do I get the detailed procedure to find GCD of 650, 152, 998, 656?
You can find a detailed procedure to find GCD of 650, 152, 998, 656 on our page.
3. How to find GCD of 650, 152, 998, 656 on a calculator?
You can find the GCD of 650, 152, 998, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.