GCD of 418, 138, 52, 737 Calculator

Given Input numbers are 418, 138, 52, 737

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 418, 138, 52, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 138, 52, 737 is 1.

Therefore, GCD of numbers 418, 138, 52, 737 is 1

Given Input Data is 418, 138, 52, 737

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 737 is 11 x 67

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(418, 138) = 28842

GCD(418, 138) = ( 418 x 138 ) / 28842

GCD(418, 138) = 57684 / 28842

GCD(418, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 418, 138, 52, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 740, 14, 461
• GCD of 657, 596, 10, 952
• GCD of 769, 213, 97, 556
• GCD of 702, 116, 33, 854
• GCD of 562, 422, 27, 477

1. What is the GCD of 418, 138, 52, 737?

GCD of 418, 138, 52, 737 is 1

2. Where do I get the detailed procedure to find GCD of 418, 138, 52, 737?

You can find a detailed procedure to find GCD of 418, 138, 52, 737 on our page.

3. How to find GCD of 418, 138, 52, 737 on a calculator?

You can find the GCD of 418, 138, 52, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.