GCD of 674, 450, 569, 370 Calculator

Given Input numbers are 674, 450, 569, 370

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

Divisors of 674

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

1, 2, 337, 674

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 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 674, 450, 569, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 450, 569, 370 is 1.

Therefore, GCD of numbers 674, 450, 569, 370 is 1

Given Input Data is 674, 450, 569, 370

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

Prime Factorization of 674 is 2 x 337

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

Prime Factorization of 569 is 569

Prime Factorization of 370 is 2 x 5 x 37

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(674, 450) = 151650

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

GCD(674, 450) = 303300 / 151650

GCD(674, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 569

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

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

GCD(2, 569) = 1138 / 1138

GCD(2, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 674, 450, 569, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 484, 794, 263
• GCD of 205, 327, 261, 505
• GCD of 889, 219, 488, 498
• GCD of 753, 104, 870, 309
• GCD of 128, 540, 975, 492

1. What is the GCD of 674, 450, 569, 370?

GCD of 674, 450, 569, 370 is 1

2. Where do I get the detailed procedure to find GCD of 674, 450, 569, 370?

You can find a detailed procedure to find GCD of 674, 450, 569, 370 on our page.

3. How to find GCD of 674, 450, 569, 370 on a calculator?

You can find the GCD of 674, 450, 569, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.