GCD of 654, 269, 764 Calculator

Given Input numbers are 654, 269, 764

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 654, 269, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 269, 764 is 1.

Therefore, GCD of numbers 654, 269, 764 is 1

Given Input Data is 654, 269, 764

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 269 is 269

Prime Factorization of 764 is 2 x 2 x 191

The above numbers do not have any common prime factor. So GCD is 1

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(654, 269) = 175926

GCD(654, 269) = ( 654 x 269 ) / 175926

GCD(654, 269) = 175926 / 175926

GCD(654, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 654, 269, 764 is 1

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1. What is the GCD of 654, 269, 764?

GCD of 654, 269, 764 is 1

2. Where do I get the detailed procedure to find GCD of 654, 269, 764?

You can find a detailed procedure to find GCD of 654, 269, 764 on our page.

3. How to find GCD of 654, 269, 764 on a calculator?

You can find the GCD of 654, 269, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.