GCD of 960, 664, 497 Calculator

Given Input numbers are 960, 664, 497

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 960, 664, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 664, 497 is 1.

Therefore, GCD of numbers 960, 664, 497 is 1

Given Input Data is 960, 664, 497

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 497 is 7 x 71

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(960, 664) = 79680

GCD(960, 664) = ( 960 x 664 ) / 79680

GCD(960, 664) = 637440 / 79680

GCD(960, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 497

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

LCM(8, 497) = 3976

GCD(8, 497) = ( 8 x 497 ) / 3976

GCD(8, 497) = 3976 / 3976

GCD(8, 497) = 1

GCD of 960, 664, 497 is 1

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1. What is the GCD of 960, 664, 497?

GCD of 960, 664, 497 is 1

2. Where do I get the detailed procedure to find GCD of 960, 664, 497?

You can find a detailed procedure to find GCD of 960, 664, 497 on our page.

3. How to find GCD of 960, 664, 497 on a calculator?

You can find the GCD of 960, 664, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.