GCD of 126, 915, 687 Calculator

Given Input numbers are 126, 915, 687

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 126, 915, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 915, 687 is 3.

Therefore, GCD of numbers 126, 915, 687 is 3

Given Input Data is 126, 915, 687

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 687 is 3 x 229

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(126, 915) = 38430

GCD(126, 915) = ( 126 x 915 ) / 38430

GCD(126, 915) = 115290 / 38430

GCD(126, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 687

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

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

GCD(3, 687) = 2061 / 687

GCD(3, 687) = 3

GCD of 126, 915, 687 is 3

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• GCD of 868, 295, 550
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1. What is the GCD of 126, 915, 687?

GCD of 126, 915, 687 is 3

2. Where do I get the detailed procedure to find GCD of 126, 915, 687?

You can find a detailed procedure to find GCD of 126, 915, 687 on our page.

3. How to find GCD of 126, 915, 687 on a calculator?

You can find the GCD of 126, 915, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.