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 620, 838, 254, 950 i.e. 2 largest integer that divides all the numbers equally.
GCD of 620, 838, 254, 950 is 2
GCD(620, 838, 254, 950) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 620, 838, 254, 950 is 2
GCD(620, 838, 254, 950) = 2
Given Input numbers are 620, 838, 254, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 620, 838, 254, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 838, 254, 950 is 2.
Therefore, GCD of numbers 620, 838, 254, 950 is 2
Given Input Data is 620, 838, 254, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 838 is 2 x 419
Prime Factorization of 254 is 2 x 127
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(620, 838) = 259780
GCD(620, 838) = ( 620 x 838 ) / 259780
GCD(620, 838) = 519560 / 259780
GCD(620, 838) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 254) = 254
GCD(2, 254) = ( 2 x 254 ) / 254
GCD(2, 254) = 508 / 254
GCD(2, 254) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 950) = 950
GCD(2, 950) = ( 2 x 950 ) / 950
GCD(2, 950) = 1900 / 950
GCD(2, 950) = 2
GCD of 620, 838, 254, 950 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 620, 838, 254, 950?
GCD of 620, 838, 254, 950 is 2
2. Where do I get the detailed procedure to find GCD of 620, 838, 254, 950?
You can find a detailed procedure to find GCD of 620, 838, 254, 950 on our page.
3. How to find GCD of 620, 838, 254, 950 on a calculator?
You can find the GCD of 620, 838, 254, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.