GCD of 113, 206, 15, 702 Calculator

Given Input numbers are 113, 206, 15, 702

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 113, 206, 15, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 206, 15, 702 is 1.

Therefore, GCD of numbers 113, 206, 15, 702 is 1

Given Input Data is 113, 206, 15, 702

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

Prime Factorization of 113 is 113

Prime Factorization of 206 is 2 x 103

Prime Factorization of 15 is 3 x 5

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(113, 206) = 23278

GCD(113, 206) = ( 113 x 206 ) / 23278

GCD(113, 206) = 23278 / 23278

GCD(113, 206) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 113, 206, 15, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 852, 40, 696
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• GCD of 288, 636, 60, 262
• GCD of 681, 890, 61, 104

1. What is the GCD of 113, 206, 15, 702?

GCD of 113, 206, 15, 702 is 1

2. Where do I get the detailed procedure to find GCD of 113, 206, 15, 702?

You can find a detailed procedure to find GCD of 113, 206, 15, 702 on our page.

3. How to find GCD of 113, 206, 15, 702 on a calculator?

You can find the GCD of 113, 206, 15, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.