GCD of 45, 873, 710, 196 Calculator

Given Input numbers are 45, 873, 710, 196

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 45, 873, 710, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 873, 710, 196 is 1.

Therefore, GCD of numbers 45, 873, 710, 196 is 1

Given Input Data is 45, 873, 710, 196

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(45, 873) = 4365

GCD(45, 873) = ( 45 x 873 ) / 4365

GCD(45, 873) = 39285 / 4365

GCD(45, 873) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 710

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

LCM(9, 710) = 6390

GCD(9, 710) = ( 9 x 710 ) / 6390

GCD(9, 710) = 6390 / 6390

GCD(9, 710) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 45, 873, 710, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 846, 917, 275
• GCD of 49, 176, 470, 788
• GCD of 63, 517, 401, 854
• GCD of 46, 475, 475, 791
• GCD of 55, 256, 858, 214

1. What is the GCD of 45, 873, 710, 196?

GCD of 45, 873, 710, 196 is 1

2. Where do I get the detailed procedure to find GCD of 45, 873, 710, 196?

You can find a detailed procedure to find GCD of 45, 873, 710, 196 on our page.

3. How to find GCD of 45, 873, 710, 196 on a calculator?

You can find the GCD of 45, 873, 710, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.