GCD of 289, 772, 67, 338 Calculator

Given Input numbers are 289, 772, 67, 338

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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 289, 772, 67, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 772, 67, 338 is 1.

Therefore, GCD of numbers 289, 772, 67, 338 is 1

Given Input Data is 289, 772, 67, 338

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 67 is 67

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(289, 772) = 223108

GCD(289, 772) = ( 289 x 772 ) / 223108

GCD(289, 772) = 223108 / 223108

GCD(289, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 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 289, 772, 67, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 147, 91, 505
• GCD of 195, 480, 12, 254
• GCD of 551, 319, 19, 312
• GCD of 809, 864, 35, 253
• GCD of 652, 818, 38, 124

1. What is the GCD of 289, 772, 67, 338?

GCD of 289, 772, 67, 338 is 1

2. Where do I get the detailed procedure to find GCD of 289, 772, 67, 338?

You can find a detailed procedure to find GCD of 289, 772, 67, 338 on our page.

3. How to find GCD of 289, 772, 67, 338 on a calculator?

You can find the GCD of 289, 772, 67, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.