GCD of 362, 103, 687, 734 Calculator

Given Input numbers are 362, 103, 687, 734

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 687

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

1, 3, 229, 687

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 362, 103, 687, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 103, 687, 734 is 1.

Therefore, GCD of numbers 362, 103, 687, 734 is 1

Given Input Data is 362, 103, 687, 734

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 103 is 103

Prime Factorization of 687 is 3 x 229

Prime Factorization of 734 is 2 x 367

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(362, 103) = 37286

GCD(362, 103) = ( 362 x 103 ) / 37286

GCD(362, 103) = 37286 / 37286

GCD(362, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 362, 103, 687, 734 is 1

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1. What is the GCD of 362, 103, 687, 734?

GCD of 362, 103, 687, 734 is 1

2. Where do I get the detailed procedure to find GCD of 362, 103, 687, 734?

You can find a detailed procedure to find GCD of 362, 103, 687, 734 on our page.

3. How to find GCD of 362, 103, 687, 734 on a calculator?

You can find the GCD of 362, 103, 687, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.