GCD of 15, 354, 887, 706 Calculator

Given Input numbers are 15, 354, 887, 706

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 15, 354, 887, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 354, 887, 706 is 1.

Therefore, GCD of numbers 15, 354, 887, 706 is 1

Given Input Data is 15, 354, 887, 706

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 887 is 887

Prime Factorization of 706 is 2 x 353

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(15, 354) = 1770

GCD(15, 354) = ( 15 x 354 ) / 1770

GCD(15, 354) = 5310 / 1770

GCD(15, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 887

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

LCM(3, 887) = 2661

GCD(3, 887) = ( 3 x 887 ) / 2661

GCD(3, 887) = 2661 / 2661

GCD(3, 887) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 15, 354, 887, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 296, 627, 949
• GCD of 38, 743, 270, 500
• GCD of 90, 931, 413, 898
• GCD of 94, 350, 707, 964
• GCD of 42, 898, 419, 225

1. What is the GCD of 15, 354, 887, 706?

GCD of 15, 354, 887, 706 is 1

2. Where do I get the detailed procedure to find GCD of 15, 354, 887, 706?

You can find a detailed procedure to find GCD of 15, 354, 887, 706 on our page.

3. How to find GCD of 15, 354, 887, 706 on a calculator?

You can find the GCD of 15, 354, 887, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.