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 976, 217, 146, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 217, 146, 466 is 1
GCD(976, 217, 146, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 217, 146, 466 is 1
GCD(976, 217, 146, 466) = 1
Given Input numbers are 976, 217, 146, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 976, 217, 146, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 217, 146, 466 is 1.
Therefore, GCD of numbers 976, 217, 146, 466 is 1
Given Input Data is 976, 217, 146, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 217 is 7 x 31
Prime Factorization of 146 is 2 x 73
Prime Factorization of 466 is 2 x 233
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(976, 217) = 211792
GCD(976, 217) = ( 976 x 217 ) / 211792
GCD(976, 217) = 211792 / 211792
GCD(976, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 976, 217, 146, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 217, 146, 466?
GCD of 976, 217, 146, 466 is 1
2. Where do I get the detailed procedure to find GCD of 976, 217, 146, 466?
You can find a detailed procedure to find GCD of 976, 217, 146, 466 on our page.
3. How to find GCD of 976, 217, 146, 466 on a calculator?
You can find the GCD of 976, 217, 146, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.