GCD of 337, 280, 74, 537 Calculator

Given Input numbers are 337, 280, 74, 537

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 337, 280, 74, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 280, 74, 537 is 1.

Therefore, GCD of numbers 337, 280, 74, 537 is 1

Given Input Data is 337, 280, 74, 537

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

Prime Factorization of 337 is 337

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 537 is 3 x 179

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(337, 280) = 94360

GCD(337, 280) = ( 337 x 280 ) / 94360

GCD(337, 280) = 94360 / 94360

GCD(337, 280) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 337, 280, 74, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 949, 30, 989
• GCD of 488, 884, 46, 970
• GCD of 806, 848, 71, 476
• GCD of 821, 368, 35, 191
• GCD of 558, 792, 37, 738

1. What is the GCD of 337, 280, 74, 537?

GCD of 337, 280, 74, 537 is 1

2. Where do I get the detailed procedure to find GCD of 337, 280, 74, 537?

You can find a detailed procedure to find GCD of 337, 280, 74, 537 on our page.

3. How to find GCD of 337, 280, 74, 537 on a calculator?

You can find the GCD of 337, 280, 74, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.