GCD of 762, 867, 900 Calculator

Given Input numbers are 762, 867, 900

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 762, 867, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 867, 900 is 3.

Therefore, GCD of numbers 762, 867, 900 is 3

Given Input Data is 762, 867, 900

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(762, 867) = 220218

GCD(762, 867) = ( 762 x 867 ) / 220218

GCD(762, 867) = 660654 / 220218

GCD(762, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 900

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

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

GCD(3, 900) = 2700 / 900

GCD(3, 900) = 3

GCD of 762, 867, 900 is 3

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1. What is the GCD of 762, 867, 900?

GCD of 762, 867, 900 is 3

2. Where do I get the detailed procedure to find GCD of 762, 867, 900?

You can find a detailed procedure to find GCD of 762, 867, 900 on our page.

3. How to find GCD of 762, 867, 900 on a calculator?

You can find the GCD of 762, 867, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.