GCD of 690, 382, 964 Calculator

Given Input numbers are 690, 382, 964

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 690, 382, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 382, 964 is 2.

Therefore, GCD of numbers 690, 382, 964 is 2

Given Input Data is 690, 382, 964

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 382 is 2 x 191

Prime Factorization of 964 is 2 x 2 x 241

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(690, 382) = 131790

GCD(690, 382) = ( 690 x 382 ) / 131790

GCD(690, 382) = 263580 / 131790

GCD(690, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 690, 382, 964 is 2

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1. What is the GCD of 690, 382, 964?

GCD of 690, 382, 964 is 2

2. Where do I get the detailed procedure to find GCD of 690, 382, 964?

You can find a detailed procedure to find GCD of 690, 382, 964 on our page.

3. How to find GCD of 690, 382, 964 on a calculator?

You can find the GCD of 690, 382, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.