GCD of 705, 106, 78 Calculator

Given Input numbers are 705, 106, 78

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 705, 106, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 106, 78 is 1.

Therefore, GCD of numbers 705, 106, 78 is 1

Given Input Data is 705, 106, 78

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 106 is 2 x 53

Prime Factorization of 78 is 2 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(705, 106) = 74730

GCD(705, 106) = ( 705 x 106 ) / 74730

GCD(705, 106) = 74730 / 74730

GCD(705, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

GCD of 705, 106, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 401, 54
• GCD of 632, 968, 38
• GCD of 457, 139, 34
• GCD of 618, 982, 88
• GCD of 625, 714, 92

1. What is the GCD of 705, 106, 78?

GCD of 705, 106, 78 is 1

2. Where do I get the detailed procedure to find GCD of 705, 106, 78?

You can find a detailed procedure to find GCD of 705, 106, 78 on our page.

3. How to find GCD of 705, 106, 78 on a calculator?

You can find the GCD of 705, 106, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.