GCD of 993, 598, 783, 138 Calculator

Given Input numbers are 993, 598, 783, 138

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 783

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

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 993, 598, 783, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 598, 783, 138 is 1.

Therefore, GCD of numbers 993, 598, 783, 138 is 1

Given Input Data is 993, 598, 783, 138

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 598 is 2 x 13 x 23

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

Prime Factorization of 138 is 2 x 3 x 23

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(993, 598) = 593814

GCD(993, 598) = ( 993 x 598 ) / 593814

GCD(993, 598) = 593814 / 593814

GCD(993, 598) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 993, 598, 783, 138 is 1

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• GCD of 847, 255, 419, 115
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1. What is the GCD of 993, 598, 783, 138?

GCD of 993, 598, 783, 138 is 1

2. Where do I get the detailed procedure to find GCD of 993, 598, 783, 138?

You can find a detailed procedure to find GCD of 993, 598, 783, 138 on our page.

3. How to find GCD of 993, 598, 783, 138 on a calculator?

You can find the GCD of 993, 598, 783, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.