GCD of 698, 687, 68, 543 Calculator

Given Input numbers are 698, 687, 68, 543

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 698, 687, 68, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 687, 68, 543 is 1.

Therefore, GCD of numbers 698, 687, 68, 543 is 1

Given Input Data is 698, 687, 68, 543

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 687 is 3 x 229

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 543 is 3 x 181

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(698, 687) = 479526

GCD(698, 687) = ( 698 x 687 ) / 479526

GCD(698, 687) = 479526 / 479526

GCD(698, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 698, 687, 68, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 468, 97, 363
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• GCD of 714, 960, 66, 730
• GCD of 288, 611, 33, 532

1. What is the GCD of 698, 687, 68, 543?

GCD of 698, 687, 68, 543 is 1

2. Where do I get the detailed procedure to find GCD of 698, 687, 68, 543?

You can find a detailed procedure to find GCD of 698, 687, 68, 543 on our page.

3. How to find GCD of 698, 687, 68, 543 on a calculator?

You can find the GCD of 698, 687, 68, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.