GCD of 712, 978, 56, 815 Calculator

Given Input numbers are 712, 978, 56, 815

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 712, 978, 56, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 978, 56, 815 is 1.

Therefore, GCD of numbers 712, 978, 56, 815 is 1

Given Input Data is 712, 978, 56, 815

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 815 is 5 x 163

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(712, 978) = 348168

GCD(712, 978) = ( 712 x 978 ) / 348168

GCD(712, 978) = 696336 / 348168

GCD(712, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 815

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

LCM(2, 815) = 1630

GCD(2, 815) = ( 2 x 815 ) / 1630

GCD(2, 815) = 1630 / 1630

GCD(2, 815) = 1

GCD of 712, 978, 56, 815 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 716, 82, 700
• GCD of 422, 731, 50, 315
• GCD of 352, 633, 19, 175
• GCD of 899, 811, 27, 402
• GCD of 995, 304, 67, 221

1. What is the GCD of 712, 978, 56, 815?

GCD of 712, 978, 56, 815 is 1

2. Where do I get the detailed procedure to find GCD of 712, 978, 56, 815?

You can find a detailed procedure to find GCD of 712, 978, 56, 815 on our page.

3. How to find GCD of 712, 978, 56, 815 on a calculator?

You can find the GCD of 712, 978, 56, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.