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 428, 984, 950, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 984, 950, 783 is 1
GCD(428, 984, 950, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 984, 950, 783 is 1
GCD(428, 984, 950, 783) = 1
Given Input numbers are 428, 984, 950, 783
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
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
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 428, 984, 950, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 984, 950, 783 is 1.
Therefore, GCD of numbers 428, 984, 950, 783 is 1
Given Input Data is 428, 984, 950, 783
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 783 is 3 x 3 x 3 x 29
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(428, 984) = 105288
GCD(428, 984) = ( 428 x 984 ) / 105288
GCD(428, 984) = 421152 / 105288
GCD(428, 984) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 950) = 1900
GCD(4, 950) = ( 4 x 950 ) / 1900
GCD(4, 950) = 3800 / 1900
GCD(4, 950) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 783) = 1566
GCD(2, 783) = ( 2 x 783 ) / 1566
GCD(2, 783) = 1566 / 1566
GCD(2, 783) = 1
GCD of 428, 984, 950, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 984, 950, 783?
GCD of 428, 984, 950, 783 is 1
2. Where do I get the detailed procedure to find GCD of 428, 984, 950, 783?
You can find a detailed procedure to find GCD of 428, 984, 950, 783 on our page.
3. How to find GCD of 428, 984, 950, 783 on a calculator?
You can find the GCD of 428, 984, 950, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.