GCD of 783, 739, 807, 164 Calculator

Given Input numbers are 783, 739, 807, 164

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 783, 739, 807, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 739, 807, 164 is 1.

Therefore, GCD of numbers 783, 739, 807, 164 is 1

Given Input Data is 783, 739, 807, 164

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 739 is 739

Prime Factorization of 807 is 3 x 269

Prime Factorization of 164 is 2 x 2 x 41

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, 739) = 578637

GCD(783, 739) = ( 783 x 739 ) / 578637

GCD(783, 739) = 578637 / 578637

GCD(783, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 783, 739, 807, 164 is 1

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1. What is the GCD of 783, 739, 807, 164?

GCD of 783, 739, 807, 164 is 1

2. Where do I get the detailed procedure to find GCD of 783, 739, 807, 164?

You can find a detailed procedure to find GCD of 783, 739, 807, 164 on our page.

3. How to find GCD of 783, 739, 807, 164 on a calculator?

You can find the GCD of 783, 739, 807, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.