GCD of 90, 554, 349, 710 Calculator

Given Input numbers are 90, 554, 349, 710

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 554

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

1, 2, 277, 554

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 90, 554, 349, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 554, 349, 710 is 1.

Therefore, GCD of numbers 90, 554, 349, 710 is 1

Given Input Data is 90, 554, 349, 710

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 554 is 2 x 277

Prime Factorization of 349 is 349

Prime Factorization of 710 is 2 x 5 x 71

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(90, 554) = 24930

GCD(90, 554) = ( 90 x 554 ) / 24930

GCD(90, 554) = 49860 / 24930

GCD(90, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 90, 554, 349, 710 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 816, 605, 444
• GCD of 14, 245, 792, 918
• GCD of 90, 913, 287, 677
• GCD of 11, 230, 229, 473
• GCD of 87, 304, 272, 347

1. What is the GCD of 90, 554, 349, 710?

GCD of 90, 554, 349, 710 is 1

2. Where do I get the detailed procedure to find GCD of 90, 554, 349, 710?

You can find a detailed procedure to find GCD of 90, 554, 349, 710 on our page.

3. How to find GCD of 90, 554, 349, 710 on a calculator?

You can find the GCD of 90, 554, 349, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.