GCD of 362, 105, 268 Calculator

Given Input numbers are 362, 105, 268

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 362, 105, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 105, 268 is 1.

Therefore, GCD of numbers 362, 105, 268 is 1

Given Input Data is 362, 105, 268

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 268 is 2 x 2 x 67

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, 105) = 38010

GCD(362, 105) = ( 362 x 105 ) / 38010

GCD(362, 105) = 38010 / 38010

GCD(362, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 362, 105, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 652, 874
• GCD of 573, 655, 390
• GCD of 228, 778, 846
• GCD of 109, 389, 429
• GCD of 497, 516, 793

1. What is the GCD of 362, 105, 268?

GCD of 362, 105, 268 is 1

2. Where do I get the detailed procedure to find GCD of 362, 105, 268?

You can find a detailed procedure to find GCD of 362, 105, 268 on our page.

3. How to find GCD of 362, 105, 268 on a calculator?

You can find the GCD of 362, 105, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.