GCD of 77, 586, 173, 338 Calculator

Given Input numbers are 77, 586, 173, 338

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

Divisors of 77

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

1, 7, 11, 77

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 77, 586, 173, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 586, 173, 338 is 1.

Therefore, GCD of numbers 77, 586, 173, 338 is 1

Given Input Data is 77, 586, 173, 338

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 586 is 2 x 293

Prime Factorization of 173 is 173

Prime Factorization of 338 is 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(77, 586) = 45122

GCD(77, 586) = ( 77 x 586 ) / 45122

GCD(77, 586) = 45122 / 45122

GCD(77, 586) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 77, 586, 173, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 672, 516, 997
• GCD of 20, 312, 882, 119
• GCD of 50, 623, 383, 510
• GCD of 32, 530, 842, 253
• GCD of 88, 282, 261, 985

1. What is the GCD of 77, 586, 173, 338?

GCD of 77, 586, 173, 338 is 1

2. Where do I get the detailed procedure to find GCD of 77, 586, 173, 338?

You can find a detailed procedure to find GCD of 77, 586, 173, 338 on our page.

3. How to find GCD of 77, 586, 173, 338 on a calculator?

You can find the GCD of 77, 586, 173, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.