GCD of 915, 894, 153 Calculator

Given Input numbers are 915, 894, 153

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

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 915, 894, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 894, 153 is 3.

Therefore, GCD of numbers 915, 894, 153 is 3

Given Input Data is 915, 894, 153

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 153 is 3 x 3 x 17

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(915, 894) = 272670

GCD(915, 894) = ( 915 x 894 ) / 272670

GCD(915, 894) = 818010 / 272670

GCD(915, 894) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 153

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

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

GCD(3, 153) = 459 / 153

GCD(3, 153) = 3

GCD of 915, 894, 153 is 3

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1. What is the GCD of 915, 894, 153?

GCD of 915, 894, 153 is 3

2. Where do I get the detailed procedure to find GCD of 915, 894, 153?

You can find a detailed procedure to find GCD of 915, 894, 153 on our page.

3. How to find GCD of 915, 894, 153 on a calculator?

You can find the GCD of 915, 894, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.