GCD of 299, 217, 654, 137 Calculator

Given Input numbers are 299, 217, 654, 137

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

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 299, 217, 654, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 217, 654, 137 is 1.

Therefore, GCD of numbers 299, 217, 654, 137 is 1

Given Input Data is 299, 217, 654, 137

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 217 is 7 x 31

Prime Factorization of 654 is 2 x 3 x 109

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(299, 217) = 64883

GCD(299, 217) = ( 299 x 217 ) / 64883

GCD(299, 217) = 64883 / 64883

GCD(299, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 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 299, 217, 654, 137 is 1

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1. What is the GCD of 299, 217, 654, 137?

GCD of 299, 217, 654, 137 is 1

2. Where do I get the detailed procedure to find GCD of 299, 217, 654, 137?

You can find a detailed procedure to find GCD of 299, 217, 654, 137 on our page.

3. How to find GCD of 299, 217, 654, 137 on a calculator?

You can find the GCD of 299, 217, 654, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.