GCD of 450, 674, 272, 377 Calculator

Given Input numbers are 450, 674, 272, 377

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

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 450, 674, 272, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 674, 272, 377 is 1.

Therefore, GCD of numbers 450, 674, 272, 377 is 1

Given Input Data is 450, 674, 272, 377

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

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 377 is 13 x 29

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(450, 674) = 151650

GCD(450, 674) = ( 450 x 674 ) / 151650

GCD(450, 674) = 303300 / 151650

GCD(450, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 272

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

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

GCD(2, 272) = 544 / 272

GCD(2, 272) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

GCD of 450, 674, 272, 377 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 358, 107, 517
• GCD of 321, 336, 632, 271
• GCD of 213, 773, 776, 434
• GCD of 457, 816, 136, 831
• GCD of 198, 804, 447, 513

1. What is the GCD of 450, 674, 272, 377?

GCD of 450, 674, 272, 377 is 1

2. Where do I get the detailed procedure to find GCD of 450, 674, 272, 377?

You can find a detailed procedure to find GCD of 450, 674, 272, 377 on our page.

3. How to find GCD of 450, 674, 272, 377 on a calculator?

You can find the GCD of 450, 674, 272, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.