GCD of 687, 735, 202, 731 Calculator

Given Input numbers are 687, 735, 202, 731

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

Divisors of 687

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

1, 3, 229, 687

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 687, 735, 202, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 735, 202, 731 is 1.

Therefore, GCD of numbers 687, 735, 202, 731 is 1

Given Input Data is 687, 735, 202, 731

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 202 is 2 x 101

Prime Factorization of 731 is 17 x 43

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(687, 735) = 168315

GCD(687, 735) = ( 687 x 735 ) / 168315

GCD(687, 735) = 504945 / 168315

GCD(687, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 202

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

LCM(3, 202) = 606

GCD(3, 202) = ( 3 x 202 ) / 606

GCD(3, 202) = 606 / 606

GCD(3, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 687, 735, 202, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 753, 996, 454
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• GCD of 296, 406, 346, 293

1. What is the GCD of 687, 735, 202, 731?

GCD of 687, 735, 202, 731 is 1

2. Where do I get the detailed procedure to find GCD of 687, 735, 202, 731?

You can find a detailed procedure to find GCD of 687, 735, 202, 731 on our page.

3. How to find GCD of 687, 735, 202, 731 on a calculator?

You can find the GCD of 687, 735, 202, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.