GCD of 213, 750, 969 Calculator

Given Input numbers are 213, 750, 969

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 213, 750, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 750, 969 is 3.

Therefore, GCD of numbers 213, 750, 969 is 3

Given Input Data is 213, 750, 969

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 969 is 3 x 17 x 19

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(213, 750) = 53250

GCD(213, 750) = ( 213 x 750 ) / 53250

GCD(213, 750) = 159750 / 53250

GCD(213, 750) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 969

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

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

GCD(3, 969) = 2907 / 969

GCD(3, 969) = 3

GCD of 213, 750, 969 is 3

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1. What is the GCD of 213, 750, 969?

GCD of 213, 750, 969 is 3

2. Where do I get the detailed procedure to find GCD of 213, 750, 969?

You can find a detailed procedure to find GCD of 213, 750, 969 on our page.

3. How to find GCD of 213, 750, 969 on a calculator?

You can find the GCD of 213, 750, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.