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 946, 668, 250, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 668, 250, 217 is 1
GCD(946, 668, 250, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 668, 250, 217 is 1
GCD(946, 668, 250, 217) = 1
Given Input numbers are 946, 668, 250, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
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 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 946, 668, 250, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 668, 250, 217 is 1.
Therefore, GCD of numbers 946, 668, 250, 217 is 1
Given Input Data is 946, 668, 250, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 217 is 7 x 31
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(946, 668) = 315964
GCD(946, 668) = ( 946 x 668 ) / 315964
GCD(946, 668) = 631928 / 315964
GCD(946, 668) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
GCD(2, 250) = 500 / 250
GCD(2, 250) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
GCD(2, 217) = 434 / 434
GCD(2, 217) = 1
GCD of 946, 668, 250, 217 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 668, 250, 217?
GCD of 946, 668, 250, 217 is 1
2. Where do I get the detailed procedure to find GCD of 946, 668, 250, 217?
You can find a detailed procedure to find GCD of 946, 668, 250, 217 on our page.
3. How to find GCD of 946, 668, 250, 217 on a calculator?
You can find the GCD of 946, 668, 250, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.