GCD of 786, 426, 74, 165 Calculator

Given Input numbers are 786, 426, 74, 165

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 786, 426, 74, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 426, 74, 165 is 1.

Therefore, GCD of numbers 786, 426, 74, 165 is 1

Given Input Data is 786, 426, 74, 165

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 426 is 2 x 3 x 71

Prime Factorization of 74 is 2 x 37

Prime Factorization of 165 is 3 x 5 x 11

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(786, 426) = 55806

GCD(786, 426) = ( 786 x 426 ) / 55806

GCD(786, 426) = 334836 / 55806

GCD(786, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 74

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

LCM(6, 74) = 222

GCD(6, 74) = ( 6 x 74 ) / 222

GCD(6, 74) = 444 / 222

GCD(6, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 165

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

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

GCD(2, 165) = 330 / 330

GCD(2, 165) = 1

GCD of 786, 426, 74, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 754, 21, 520
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• GCD of 869, 280, 11, 806
• GCD of 601, 296, 24, 465
• GCD of 647, 900, 27, 184

1. What is the GCD of 786, 426, 74, 165?

GCD of 786, 426, 74, 165 is 1

2. Where do I get the detailed procedure to find GCD of 786, 426, 74, 165?

You can find a detailed procedure to find GCD of 786, 426, 74, 165 on our page.

3. How to find GCD of 786, 426, 74, 165 on a calculator?

You can find the GCD of 786, 426, 74, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.