GCD of 166, 407, 77, 814 Calculator

Given Input numbers are 166, 407, 77, 814

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

Divisors of 166

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

1, 2, 83, 166

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 166, 407, 77, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 407, 77, 814 is 1.

Therefore, GCD of numbers 166, 407, 77, 814 is 1

Given Input Data is 166, 407, 77, 814

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 407 is 11 x 37

Prime Factorization of 77 is 7 x 11

Prime Factorization of 814 is 2 x 11 x 37

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(166, 407) = 67562

GCD(166, 407) = ( 166 x 407 ) / 67562

GCD(166, 407) = 67562 / 67562

GCD(166, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 166, 407, 77, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 144, 10, 879
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• GCD of 345, 203, 59, 219
• GCD of 785, 777, 71, 285
• GCD of 705, 884, 51, 114

1. What is the GCD of 166, 407, 77, 814?

GCD of 166, 407, 77, 814 is 1

2. Where do I get the detailed procedure to find GCD of 166, 407, 77, 814?

You can find a detailed procedure to find GCD of 166, 407, 77, 814 on our page.

3. How to find GCD of 166, 407, 77, 814 on a calculator?

You can find the GCD of 166, 407, 77, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.