GCD of 137, 922, 790, 221 Calculator

Given Input numbers are 137, 922, 790, 221

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

Divisors of 137

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

1, 137

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 137, 922, 790, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 922, 790, 221 is 1.

Therefore, GCD of numbers 137, 922, 790, 221 is 1

Given Input Data is 137, 922, 790, 221

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

Prime Factorization of 137 is 137

Prime Factorization of 922 is 2 x 461

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 221 is 13 x 17

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(137, 922) = 126314

GCD(137, 922) = ( 137 x 922 ) / 126314

GCD(137, 922) = 126314 / 126314

GCD(137, 922) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 137, 922, 790, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 213, 334, 994
• GCD of 241, 806, 685, 305
• GCD of 132, 981, 676, 427
• GCD of 185, 373, 161, 743
• GCD of 600, 476, 272, 456

1. What is the GCD of 137, 922, 790, 221?

GCD of 137, 922, 790, 221 is 1

2. Where do I get the detailed procedure to find GCD of 137, 922, 790, 221?

You can find a detailed procedure to find GCD of 137, 922, 790, 221 on our page.

3. How to find GCD of 137, 922, 790, 221 on a calculator?

You can find the GCD of 137, 922, 790, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.