GCD of 976, 217, 146, 466 Calculator

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

GCD of numbers 976, 217, 146, 466 is 1

GCD(976, 217, 146, 466) = 1

GCD of 976,217,146,466 Calculator

GCDof 976,217,146,466 is 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

Finding GCD of 976, 217, 146, 466 using Prime Factorization

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

Finding GCD of 976, 217, 146, 466 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 976, 217, 146, 466

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.