GCD of 30, 103, 536, 682 Calculator

Given Input numbers are 30, 103, 536, 682

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 103

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

1, 103

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 30, 103, 536, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 103, 536, 682 is 1.

Therefore, GCD of numbers 30, 103, 536, 682 is 1

Given Input Data is 30, 103, 536, 682

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 103 is 103

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 682 is 2 x 11 x 31

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(30, 103) = 3090

GCD(30, 103) = ( 30 x 103 ) / 3090

GCD(30, 103) = 3090 / 3090

GCD(30, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 536

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

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

GCD(1, 536) = 536 / 536

GCD(1, 536) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 30, 103, 536, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 815, 260, 365
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• GCD of 72, 874, 845, 999
• GCD of 28, 421, 437, 893
• GCD of 58, 588, 672, 198

1. What is the GCD of 30, 103, 536, 682?

GCD of 30, 103, 536, 682 is 1

2. Where do I get the detailed procedure to find GCD of 30, 103, 536, 682?

You can find a detailed procedure to find GCD of 30, 103, 536, 682 on our page.

3. How to find GCD of 30, 103, 536, 682 on a calculator?

You can find the GCD of 30, 103, 536, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.