GCD of 550, 508, 87, 371 Calculator

Given Input numbers are 550, 508, 87, 371

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 550, 508, 87, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 508, 87, 371 is 1.

Therefore, GCD of numbers 550, 508, 87, 371 is 1

Given Input Data is 550, 508, 87, 371

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 87 is 3 x 29

Prime Factorization of 371 is 7 x 53

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(550, 508) = 139700

GCD(550, 508) = ( 550 x 508 ) / 139700

GCD(550, 508) = 279400 / 139700

GCD(550, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 550, 508, 87, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 896, 49, 224
• GCD of 507, 354, 91, 139
• GCD of 744, 824, 88, 796
• GCD of 354, 228, 83, 961
• GCD of 689, 103, 29, 788

1. What is the GCD of 550, 508, 87, 371?

GCD of 550, 508, 87, 371 is 1

2. Where do I get the detailed procedure to find GCD of 550, 508, 87, 371?

You can find a detailed procedure to find GCD of 550, 508, 87, 371 on our page.

3. How to find GCD of 550, 508, 87, 371 on a calculator?

You can find the GCD of 550, 508, 87, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.