GCD of 747, 338, 289, 685 Calculator

Given Input numbers are 747, 338, 289, 685

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 289

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

1, 17, 289

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 747, 338, 289, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 338, 289, 685 is 1.

Therefore, GCD of numbers 747, 338, 289, 685 is 1

Given Input Data is 747, 338, 289, 685

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 289 is 17 x 17

Prime Factorization of 685 is 5 x 137

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(747, 338) = 252486

GCD(747, 338) = ( 747 x 338 ) / 252486

GCD(747, 338) = 252486 / 252486

GCD(747, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 747, 338, 289, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 888, 775, 471
• GCD of 623, 859, 979, 470
• GCD of 290, 705, 596, 526
• GCD of 654, 134, 525, 829
• GCD of 924, 371, 538, 807

1. What is the GCD of 747, 338, 289, 685?

GCD of 747, 338, 289, 685 is 1

2. Where do I get the detailed procedure to find GCD of 747, 338, 289, 685?

You can find a detailed procedure to find GCD of 747, 338, 289, 685 on our page.

3. How to find GCD of 747, 338, 289, 685 on a calculator?

You can find the GCD of 747, 338, 289, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.