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 250, 932, 856, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 932, 856, 689 is 1
GCD(250, 932, 856, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 932, 856, 689 is 1
GCD(250, 932, 856, 689) = 1
Given Input numbers are 250, 932, 856, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 250, 932, 856, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 932, 856, 689 is 1.
Therefore, GCD of numbers 250, 932, 856, 689 is 1
Given Input Data is 250, 932, 856, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 689 is 13 x 53
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(250, 932) = 116500
GCD(250, 932) = ( 250 x 932 ) / 116500
GCD(250, 932) = 233000 / 116500
GCD(250, 932) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 856) = 856
GCD(2, 856) = ( 2 x 856 ) / 856
GCD(2, 856) = 1712 / 856
GCD(2, 856) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
GCD(2, 689) = 1378 / 1378
GCD(2, 689) = 1
GCD of 250, 932, 856, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 932, 856, 689?
GCD of 250, 932, 856, 689 is 1
2. Where do I get the detailed procedure to find GCD of 250, 932, 856, 689?
You can find a detailed procedure to find GCD of 250, 932, 856, 689 on our page.
3. How to find GCD of 250, 932, 856, 689 on a calculator?
You can find the GCD of 250, 932, 856, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.