GCD of 137, 806, 945, 783 Calculator

Given Input numbers are 137, 806, 945, 783

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 137, 806, 945, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 806, 945, 783 is 1.

Therefore, GCD of numbers 137, 806, 945, 783 is 1

Given Input Data is 137, 806, 945, 783

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

Prime Factorization of 137 is 137

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 783 is 3 x 3 x 3 x 29

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, 806) = 110422

GCD(137, 806) = ( 137 x 806 ) / 110422

GCD(137, 806) = 110422 / 110422

GCD(137, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 137, 806, 945, 783 is 1

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1. What is the GCD of 137, 806, 945, 783?

GCD of 137, 806, 945, 783 is 1

2. Where do I get the detailed procedure to find GCD of 137, 806, 945, 783?

You can find a detailed procedure to find GCD of 137, 806, 945, 783 on our page.

3. How to find GCD of 137, 806, 945, 783 on a calculator?

You can find the GCD of 137, 806, 945, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.