GCD of 18, 676, 746, 567 Calculator

Given Input numbers are 18, 676, 746, 567

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 18, 676, 746, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 676, 746, 567 is 1.

Therefore, GCD of numbers 18, 676, 746, 567 is 1

Given Input Data is 18, 676, 746, 567

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 746 is 2 x 373

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(18, 676) = 6084

GCD(18, 676) = ( 18 x 676 ) / 6084

GCD(18, 676) = 12168 / 6084

GCD(18, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 18, 676, 746, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 430, 685, 463
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• GCD of 62, 917, 863, 326
• GCD of 95, 714, 821, 632

1. What is the GCD of 18, 676, 746, 567?

GCD of 18, 676, 746, 567 is 1

2. Where do I get the detailed procedure to find GCD of 18, 676, 746, 567?

You can find a detailed procedure to find GCD of 18, 676, 746, 567 on our page.

3. How to find GCD of 18, 676, 746, 567 on a calculator?

You can find the GCD of 18, 676, 746, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.