GCD of 327, 978, 77, 451 Calculator

Given Input numbers are 327, 978, 77, 451

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

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 451

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

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 327, 978, 77, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 978, 77, 451 is 1.

Therefore, GCD of numbers 327, 978, 77, 451 is 1

Given Input Data is 327, 978, 77, 451

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 77 is 7 x 11

Prime Factorization of 451 is 11 x 41

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(327, 978) = 106602

GCD(327, 978) = ( 327 x 978 ) / 106602

GCD(327, 978) = 319806 / 106602

GCD(327, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

GCD of 327, 978, 77, 451 is 1

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1. What is the GCD of 327, 978, 77, 451?

GCD of 327, 978, 77, 451 is 1

2. Where do I get the detailed procedure to find GCD of 327, 978, 77, 451?

You can find a detailed procedure to find GCD of 327, 978, 77, 451 on our page.

3. How to find GCD of 327, 978, 77, 451 on a calculator?

You can find the GCD of 327, 978, 77, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.