GCD of 138, 737, 37, 908 Calculator

Given Input numbers are 138, 737, 37, 908

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

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 737

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

1, 11, 67, 737

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 138, 737, 37, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 737, 37, 908 is 1.

Therefore, GCD of numbers 138, 737, 37, 908 is 1

Given Input Data is 138, 737, 37, 908

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 737 is 11 x 67

Prime Factorization of 37 is 37

Prime Factorization of 908 is 2 x 2 x 227

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(138, 737) = 101706

GCD(138, 737) = ( 138 x 737 ) / 101706

GCD(138, 737) = 101706 / 101706

GCD(138, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 138, 737, 37, 908 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 735, 40, 498
• GCD of 238, 903, 51, 957
• GCD of 710, 220, 24, 466
• GCD of 998, 510, 70, 766
• GCD of 636, 484, 80, 922

1. What is the GCD of 138, 737, 37, 908?

GCD of 138, 737, 37, 908 is 1

2. Where do I get the detailed procedure to find GCD of 138, 737, 37, 908?

You can find a detailed procedure to find GCD of 138, 737, 37, 908 on our page.

3. How to find GCD of 138, 737, 37, 908 on a calculator?

You can find the GCD of 138, 737, 37, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.