GCD of 773, 840, 474, 321 Calculator

Given Input numbers are 773, 840, 474, 321

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

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 773, 840, 474, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 773, 840, 474, 321 is 1.

Therefore, GCD of numbers 773, 840, 474, 321 is 1

Given Input Data is 773, 840, 474, 321

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

Prime Factorization of 773 is 773

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 321 is 3 x 107

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(773, 840) = 649320

GCD(773, 840) = ( 773 x 840 ) / 649320

GCD(773, 840) = 649320 / 649320

GCD(773, 840) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 773, 840, 474, 321 is 1

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1. What is the GCD of 773, 840, 474, 321?

GCD of 773, 840, 474, 321 is 1

2. Where do I get the detailed procedure to find GCD of 773, 840, 474, 321?

You can find a detailed procedure to find GCD of 773, 840, 474, 321 on our page.

3. How to find GCD of 773, 840, 474, 321 on a calculator?

You can find the GCD of 773, 840, 474, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.