GCD of 142, 261, 37, 649 Calculator

Given Input numbers are 142, 261, 37, 649

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 37

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

1, 37

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 142, 261, 37, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 261, 37, 649 is 1.

Therefore, GCD of numbers 142, 261, 37, 649 is 1

Given Input Data is 142, 261, 37, 649

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 37 is 37

Prime Factorization of 649 is 11 x 59

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(142, 261) = 37062

GCD(142, 261) = ( 142 x 261 ) / 37062

GCD(142, 261) = 37062 / 37062

GCD(142, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 142, 261, 37, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 437, 33, 829
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• GCD of 366, 220, 91, 231

1. What is the GCD of 142, 261, 37, 649?

GCD of 142, 261, 37, 649 is 1

2. Where do I get the detailed procedure to find GCD of 142, 261, 37, 649?

You can find a detailed procedure to find GCD of 142, 261, 37, 649 on our page.

3. How to find GCD of 142, 261, 37, 649 on a calculator?

You can find the GCD of 142, 261, 37, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.