GCD of 548, 554, 37, 867 Calculator

Given Input numbers are 548, 554, 37, 867

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 548, 554, 37, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 554, 37, 867 is 1.

Therefore, GCD of numbers 548, 554, 37, 867 is 1

Given Input Data is 548, 554, 37, 867

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 554 is 2 x 277

Prime Factorization of 37 is 37

Prime Factorization of 867 is 3 x 17 x 17

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(548, 554) = 151796

GCD(548, 554) = ( 548 x 554 ) / 151796

GCD(548, 554) = 303592 / 151796

GCD(548, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 548, 554, 37, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 195, 87, 446
• GCD of 800, 642, 71, 948
• GCD of 684, 684, 92, 517
• GCD of 867, 121, 80, 612
• GCD of 993, 838, 89, 227

1. What is the GCD of 548, 554, 37, 867?

GCD of 548, 554, 37, 867 is 1

2. Where do I get the detailed procedure to find GCD of 548, 554, 37, 867?

You can find a detailed procedure to find GCD of 548, 554, 37, 867 on our page.

3. How to find GCD of 548, 554, 37, 867 on a calculator?

You can find the GCD of 548, 554, 37, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.