GCD of 426, 915, 786 Calculator

Given Input numbers are 426, 915, 786

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

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

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 426, 915, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 915, 786 is 3.

Therefore, GCD of numbers 426, 915, 786 is 3

Given Input Data is 426, 915, 786

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 786 is 2 x 3 x 131

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(426, 915) = 129930

GCD(426, 915) = ( 426 x 915 ) / 129930

GCD(426, 915) = 389790 / 129930

GCD(426, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 786

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

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

GCD(3, 786) = 2358 / 786

GCD(3, 786) = 3

GCD of 426, 915, 786 is 3

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1. What is the GCD of 426, 915, 786?

GCD of 426, 915, 786 is 3

2. Where do I get the detailed procedure to find GCD of 426, 915, 786?

You can find a detailed procedure to find GCD of 426, 915, 786 on our page.

3. How to find GCD of 426, 915, 786 on a calculator?

You can find the GCD of 426, 915, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.