GCD of 640, 978, 451, 424 Calculator

Given Input numbers are 640, 978, 451, 424

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 640, 978, 451, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 978, 451, 424 is 1.

Therefore, GCD of numbers 640, 978, 451, 424 is 1

Given Input Data is 640, 978, 451, 424

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 451 is 11 x 41

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(640, 978) = 312960

GCD(640, 978) = ( 640 x 978 ) / 312960

GCD(640, 978) = 625920 / 312960

GCD(640, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 451

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

LCM(2, 451) = 902

GCD(2, 451) = ( 2 x 451 ) / 902

GCD(2, 451) = 902 / 902

GCD(2, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 640, 978, 451, 424 is 1

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1. What is the GCD of 640, 978, 451, 424?

GCD of 640, 978, 451, 424 is 1

2. Where do I get the detailed procedure to find GCD of 640, 978, 451, 424?

You can find a detailed procedure to find GCD of 640, 978, 451, 424 on our page.

3. How to find GCD of 640, 978, 451, 424 on a calculator?

You can find the GCD of 640, 978, 451, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.