GCD of 146, 217, 676 Calculator

Given Input numbers are 146, 217, 676

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 146, 217, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 217, 676 is 1.

Therefore, GCD of numbers 146, 217, 676 is 1

Given Input Data is 146, 217, 676

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 146 is 2 x 73

Prime Factorization of 217 is 7 x 31

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(146, 217) = 31682

GCD(146, 217) = ( 146 x 217 ) / 31682

GCD(146, 217) = 31682 / 31682

GCD(146, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 146, 217, 676 is 1

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• GCD of 722, 298, 643
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1. What is the GCD of 146, 217, 676?

GCD of 146, 217, 676 is 1

2. Where do I get the detailed procedure to find GCD of 146, 217, 676?

You can find a detailed procedure to find GCD of 146, 217, 676 on our page.

3. How to find GCD of 146, 217, 676 on a calculator?

You can find the GCD of 146, 217, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.