GCD of 45, 771, 361, 603 Calculator

Given Input numbers are 45, 771, 361, 603

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 771

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

1, 3, 257, 771

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 45, 771, 361, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 771, 361, 603 is 1.

Therefore, GCD of numbers 45, 771, 361, 603 is 1

Given Input Data is 45, 771, 361, 603

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 771 is 3 x 257

Prime Factorization of 361 is 19 x 19

Prime Factorization of 603 is 3 x 3 x 67

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(45, 771) = 11565

GCD(45, 771) = ( 45 x 771 ) / 11565

GCD(45, 771) = 34695 / 11565

GCD(45, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 361

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

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

GCD(3, 361) = 1083 / 1083

GCD(3, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

GCD of 45, 771, 361, 603 is 1

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• GCD of 99, 359, 353, 623
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• GCD of 11, 641, 238, 124

1. What is the GCD of 45, 771, 361, 603?

GCD of 45, 771, 361, 603 is 1

2. Where do I get the detailed procedure to find GCD of 45, 771, 361, 603?

You can find a detailed procedure to find GCD of 45, 771, 361, 603 on our page.

3. How to find GCD of 45, 771, 361, 603 on a calculator?

You can find the GCD of 45, 771, 361, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.