GCD of 15, 637, 289, 349 Calculator

Given Input numbers are 15, 637, 289, 349

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 289

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

1, 17, 289

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 15, 637, 289, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 637, 289, 349 is 1.

Therefore, GCD of numbers 15, 637, 289, 349 is 1

Given Input Data is 15, 637, 289, 349

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 289 is 17 x 17

Prime Factorization of 349 is 349

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(15, 637) = 9555

GCD(15, 637) = ( 15 x 637 ) / 9555

GCD(15, 637) = 9555 / 9555

GCD(15, 637) = 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 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 15, 637, 289, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 297, 284, 890
• GCD of 55, 413, 754, 122
• GCD of 70, 130, 790, 775
• GCD of 75, 997, 159, 734
• GCD of 59, 959, 851, 951

1. What is the GCD of 15, 637, 289, 349?

GCD of 15, 637, 289, 349 is 1

2. Where do I get the detailed procedure to find GCD of 15, 637, 289, 349?

You can find a detailed procedure to find GCD of 15, 637, 289, 349 on our page.

3. How to find GCD of 15, 637, 289, 349 on a calculator?

You can find the GCD of 15, 637, 289, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.