GCD of 37, 361, 554, 137 Calculator

Given Input numbers are 37, 361, 554, 137

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

Divisors of 37

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

1, 37

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 137

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

1, 137

Greatest Common Divisior

We found the divisors of 37, 361, 554, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 361, 554, 137 is 1.

Therefore, GCD of numbers 37, 361, 554, 137 is 1

Given Input Data is 37, 361, 554, 137

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

Prime Factorization of 37 is 37

Prime Factorization of 361 is 19 x 19

Prime Factorization of 554 is 2 x 277

Prime Factorization of 137 is 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(37, 361) = 13357

GCD(37, 361) = ( 37 x 361 ) / 13357

GCD(37, 361) = 13357 / 13357

GCD(37, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 37, 361, 554, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 721, 297, 181
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• GCD of 68, 675, 957, 401
• GCD of 39, 721, 600, 958
• GCD of 32, 849, 433, 760

1. What is the GCD of 37, 361, 554, 137?

GCD of 37, 361, 554, 137 is 1

2. Where do I get the detailed procedure to find GCD of 37, 361, 554, 137?

You can find a detailed procedure to find GCD of 37, 361, 554, 137 on our page.

3. How to find GCD of 37, 361, 554, 137 on a calculator?

You can find the GCD of 37, 361, 554, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.