GCD of 610, 319, 90, 634 Calculator

Given Input numbers are 610, 319, 90, 634

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 610, 319, 90, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 319, 90, 634 is 1.

Therefore, GCD of numbers 610, 319, 90, 634 is 1

Given Input Data is 610, 319, 90, 634

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 319 is 11 x 29

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

Prime Factorization of 634 is 2 x 317

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(610, 319) = 194590

GCD(610, 319) = ( 610 x 319 ) / 194590

GCD(610, 319) = 194590 / 194590

GCD(610, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 610, 319, 90, 634 is 1

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1. What is the GCD of 610, 319, 90, 634?

GCD of 610, 319, 90, 634 is 1

2. Where do I get the detailed procedure to find GCD of 610, 319, 90, 634?

You can find a detailed procedure to find GCD of 610, 319, 90, 634 on our page.

3. How to find GCD of 610, 319, 90, 634 on a calculator?

You can find the GCD of 610, 319, 90, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.