GCD of 14, 137, 603, 574 Calculator

Given Input numbers are 14, 137, 603, 574

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 14, 137, 603, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 137, 603, 574 is 1.

Therefore, GCD of numbers 14, 137, 603, 574 is 1

Given Input Data is 14, 137, 603, 574

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 137 is 137

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 574 is 2 x 7 x 41

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(14, 137) = 1918

GCD(14, 137) = ( 14 x 137 ) / 1918

GCD(14, 137) = 1918 / 1918

GCD(14, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 14, 137, 603, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 221, 727, 515
• GCD of 53, 389, 299, 299
• GCD of 55, 261, 486, 258
• GCD of 99, 411, 450, 490
• GCD of 28, 469, 665, 491

1. What is the GCD of 14, 137, 603, 574?

GCD of 14, 137, 603, 574 is 1

2. Where do I get the detailed procedure to find GCD of 14, 137, 603, 574?

You can find a detailed procedure to find GCD of 14, 137, 603, 574 on our page.

3. How to find GCD of 14, 137, 603, 574 on a calculator?

You can find the GCD of 14, 137, 603, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.