GCD of 368, 205, 61, 137 Calculator

Given Input numbers are 368, 205, 61, 137

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 368, 205, 61, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 205, 61, 137 is 1.

Therefore, GCD of numbers 368, 205, 61, 137 is 1

Given Input Data is 368, 205, 61, 137

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 205 is 5 x 41

Prime Factorization of 61 is 61

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(368, 205) = 75440

GCD(368, 205) = ( 368 x 205 ) / 75440

GCD(368, 205) = 75440 / 75440

GCD(368, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 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 368, 205, 61, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 110, 83, 460
• GCD of 977, 774, 10, 924
• GCD of 341, 160, 72, 959
• GCD of 387, 931, 26, 590
• GCD of 297, 435, 92, 896

1. What is the GCD of 368, 205, 61, 137?

GCD of 368, 205, 61, 137 is 1

2. Where do I get the detailed procedure to find GCD of 368, 205, 61, 137?

You can find a detailed procedure to find GCD of 368, 205, 61, 137 on our page.

3. How to find GCD of 368, 205, 61, 137 on a calculator?

You can find the GCD of 368, 205, 61, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.