GCD of 656, 949, 76, 171 Calculator

Given Input numbers are 656, 949, 76, 171

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 656, 949, 76, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 949, 76, 171 is 1.

Therefore, GCD of numbers 656, 949, 76, 171 is 1

Given Input Data is 656, 949, 76, 171

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 949 is 13 x 73

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 171 is 3 x 3 x 19

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(656, 949) = 622544

GCD(656, 949) = ( 656 x 949 ) / 622544

GCD(656, 949) = 622544 / 622544

GCD(656, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 656, 949, 76, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 362, 39, 159
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• GCD of 633, 869, 92, 218
• GCD of 947, 746, 56, 404
• GCD of 703, 566, 74, 662

1. What is the GCD of 656, 949, 76, 171?

GCD of 656, 949, 76, 171 is 1

2. Where do I get the detailed procedure to find GCD of 656, 949, 76, 171?

You can find a detailed procedure to find GCD of 656, 949, 76, 171 on our page.

3. How to find GCD of 656, 949, 76, 171 on a calculator?

You can find the GCD of 656, 949, 76, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.