GCD of 783, 649, 102, 238 Calculator

Given Input numbers are 783, 649, 102, 238

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

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 649

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

1, 11, 59, 649

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 783, 649, 102, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 649, 102, 238 is 1.

Therefore, GCD of numbers 783, 649, 102, 238 is 1

Given Input Data is 783, 649, 102, 238

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

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 238 is 2 x 7 x 17

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(783, 649) = 508167

GCD(783, 649) = ( 783 x 649 ) / 508167

GCD(783, 649) = 508167 / 508167

GCD(783, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 783, 649, 102, 238 is 1

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• GCD of 706, 361, 710, 684
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1. What is the GCD of 783, 649, 102, 238?

GCD of 783, 649, 102, 238 is 1

2. Where do I get the detailed procedure to find GCD of 783, 649, 102, 238?

You can find a detailed procedure to find GCD of 783, 649, 102, 238 on our page.

3. How to find GCD of 783, 649, 102, 238 on a calculator?

You can find the GCD of 783, 649, 102, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.