GCD of 714, 568, 90, 617 Calculator

Given Input numbers are 714, 568, 90, 617

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 714, 568, 90, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 568, 90, 617 is 1.

Therefore, GCD of numbers 714, 568, 90, 617 is 1

Given Input Data is 714, 568, 90, 617

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 568 is 2 x 2 x 2 x 71

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

Prime Factorization of 617 is 617

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(714, 568) = 202776

GCD(714, 568) = ( 714 x 568 ) / 202776

GCD(714, 568) = 405552 / 202776

GCD(714, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 617

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

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

GCD(2, 617) = 1234 / 1234

GCD(2, 617) = 1

GCD of 714, 568, 90, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 924, 75, 941
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• GCD of 898, 154, 82, 468

1. What is the GCD of 714, 568, 90, 617?

GCD of 714, 568, 90, 617 is 1

2. Where do I get the detailed procedure to find GCD of 714, 568, 90, 617?

You can find a detailed procedure to find GCD of 714, 568, 90, 617 on our page.

3. How to find GCD of 714, 568, 90, 617 on a calculator?

You can find the GCD of 714, 568, 90, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.