GCD of 790, 108, 892, 786 Calculator

Given Input numbers are 790, 108, 892, 786

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 786

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

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

Greatest Common Divisior

We found the divisors of 790, 108, 892, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 108, 892, 786 is 2.

Therefore, GCD of numbers 790, 108, 892, 786 is 2

Given Input Data is 790, 108, 892, 786

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 786 is 2 x 3 x 131

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(790, 108) = 42660

GCD(790, 108) = ( 790 x 108 ) / 42660

GCD(790, 108) = 85320 / 42660

GCD(790, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

GCD of 790, 108, 892, 786 is 2

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1. What is the GCD of 790, 108, 892, 786?

GCD of 790, 108, 892, 786 is 2

2. Where do I get the detailed procedure to find GCD of 790, 108, 892, 786?

You can find a detailed procedure to find GCD of 790, 108, 892, 786 on our page.

3. How to find GCD of 790, 108, 892, 786 on a calculator?

You can find the GCD of 790, 108, 892, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.