GCD of 137, 898, 15, 242 Calculator

Given Input numbers are 137, 898, 15, 242

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 137, 898, 15, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 898, 15, 242 is 1.

Therefore, GCD of numbers 137, 898, 15, 242 is 1

Given Input Data is 137, 898, 15, 242

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

Prime Factorization of 137 is 137

Prime Factorization of 898 is 2 x 449

Prime Factorization of 15 is 3 x 5

Prime Factorization of 242 is 2 x 11 x 11

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, 898) = 123026

GCD(137, 898) = ( 137 x 898 ) / 123026

GCD(137, 898) = 123026 / 123026

GCD(137, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 137, 898, 15, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 397, 89, 360
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• GCD of 129, 190, 30, 658
• GCD of 516, 255, 68, 196
• GCD of 197, 721, 19, 776

1. What is the GCD of 137, 898, 15, 242?

GCD of 137, 898, 15, 242 is 1

2. Where do I get the detailed procedure to find GCD of 137, 898, 15, 242?

You can find a detailed procedure to find GCD of 137, 898, 15, 242 on our page.

3. How to find GCD of 137, 898, 15, 242 on a calculator?

You can find the GCD of 137, 898, 15, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.