GCD of 658, 166, 677, 908 Calculator

Given Input numbers are 658, 166, 677, 908

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 658, 166, 677, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 166, 677, 908 is 1.

Therefore, GCD of numbers 658, 166, 677, 908 is 1

Given Input Data is 658, 166, 677, 908

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 166 is 2 x 83

Prime Factorization of 677 is 677

Prime Factorization of 908 is 2 x 2 x 227

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(658, 166) = 54614

GCD(658, 166) = ( 658 x 166 ) / 54614

GCD(658, 166) = 109228 / 54614

GCD(658, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 658, 166, 677, 908 is 1

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1. What is the GCD of 658, 166, 677, 908?

GCD of 658, 166, 677, 908 is 1

2. Where do I get the detailed procedure to find GCD of 658, 166, 677, 908?

You can find a detailed procedure to find GCD of 658, 166, 677, 908 on our page.

3. How to find GCD of 658, 166, 677, 908 on a calculator?

You can find the GCD of 658, 166, 677, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.