GCD of 769, 460, 664, 275 Calculator

Given Input numbers are 769, 460, 664, 275

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 769, 460, 664, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 460, 664, 275 is 1.

Therefore, GCD of numbers 769, 460, 664, 275 is 1

Given Input Data is 769, 460, 664, 275

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

Prime Factorization of 769 is 769

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 275 is 5 x 5 x 11

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(769, 460) = 353740

GCD(769, 460) = ( 769 x 460 ) / 353740

GCD(769, 460) = 353740 / 353740

GCD(769, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 769, 460, 664, 275 is 1

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1. What is the GCD of 769, 460, 664, 275?

GCD of 769, 460, 664, 275 is 1

2. Where do I get the detailed procedure to find GCD of 769, 460, 664, 275?

You can find a detailed procedure to find GCD of 769, 460, 664, 275 on our page.

3. How to find GCD of 769, 460, 664, 275 on a calculator?

You can find the GCD of 769, 460, 664, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.