GCD of 786, 874, 120, 804 Calculator

Given Input numbers are 786, 874, 120, 804

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 786, 874, 120, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 874, 120, 804 is 2.

Therefore, GCD of numbers 786, 874, 120, 804 is 2

Given Input Data is 786, 874, 120, 804

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 804 is 2 x 2 x 3 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(786, 874) = 343482

GCD(786, 874) = ( 786 x 874 ) / 343482

GCD(786, 874) = 686964 / 343482

GCD(786, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 786, 874, 120, 804 is 2

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1. What is the GCD of 786, 874, 120, 804?

GCD of 786, 874, 120, 804 is 2

2. Where do I get the detailed procedure to find GCD of 786, 874, 120, 804?

You can find a detailed procedure to find GCD of 786, 874, 120, 804 on our page.

3. How to find GCD of 786, 874, 120, 804 on a calculator?

You can find the GCD of 786, 874, 120, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.