GCD of 978, 576, 665, 501 Calculator

Given Input numbers are 978, 576, 665, 501

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

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 978, 576, 665, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 576, 665, 501 is 1.

Therefore, GCD of numbers 978, 576, 665, 501 is 1

Given Input Data is 978, 576, 665, 501

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 501 is 3 x 167

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(978, 576) = 93888

GCD(978, 576) = ( 978 x 576 ) / 93888

GCD(978, 576) = 563328 / 93888

GCD(978, 576) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 665

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

LCM(6, 665) = 3990

GCD(6, 665) = ( 6 x 665 ) / 3990

GCD(6, 665) = 3990 / 3990

GCD(6, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 978, 576, 665, 501 is 1

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1. What is the GCD of 978, 576, 665, 501?

GCD of 978, 576, 665, 501 is 1

2. Where do I get the detailed procedure to find GCD of 978, 576, 665, 501?

You can find a detailed procedure to find GCD of 978, 576, 665, 501 on our page.

3. How to find GCD of 978, 576, 665, 501 on a calculator?

You can find the GCD of 978, 576, 665, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.