GCD of 308, 185, 78, 745 Calculator

Given Input numbers are 308, 185, 78, 745

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 78

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

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 308, 185, 78, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 185, 78, 745 is 1.

Therefore, GCD of numbers 308, 185, 78, 745 is 1

Given Input Data is 308, 185, 78, 745

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 185 is 5 x 37

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 745 is 5 x 149

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(308, 185) = 56980

GCD(308, 185) = ( 308 x 185 ) / 56980

GCD(308, 185) = 56980 / 56980

GCD(308, 185) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 308, 185, 78, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 948, 40, 120
• GCD of 451, 839, 79, 680
• GCD of 666, 648, 82, 854
• GCD of 117, 245, 92, 192
• GCD of 488, 102, 56, 599

1. What is the GCD of 308, 185, 78, 745?

GCD of 308, 185, 78, 745 is 1

2. Where do I get the detailed procedure to find GCD of 308, 185, 78, 745?

You can find a detailed procedure to find GCD of 308, 185, 78, 745 on our page.

3. How to find GCD of 308, 185, 78, 745 on a calculator?

You can find the GCD of 308, 185, 78, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.