GCD of 294, 638, 771, 450 Calculator

Given Input numbers are 294, 638, 771, 450

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 294, 638, 771, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 638, 771, 450 is 1.

Therefore, GCD of numbers 294, 638, 771, 450 is 1

Given Input Data is 294, 638, 771, 450

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 771 is 3 x 257

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(294, 638) = 93786

GCD(294, 638) = ( 294 x 638 ) / 93786

GCD(294, 638) = 187572 / 93786

GCD(294, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 294, 638, 771, 450 is 1

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1. What is the GCD of 294, 638, 771, 450?

GCD of 294, 638, 771, 450 is 1

2. Where do I get the detailed procedure to find GCD of 294, 638, 771, 450?

You can find a detailed procedure to find GCD of 294, 638, 771, 450 on our page.

3. How to find GCD of 294, 638, 771, 450 on a calculator?

You can find the GCD of 294, 638, 771, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.