GCD of 196, 465, 45, 282 Calculator

Given Input numbers are 196, 465, 45, 282

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

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 196, 465, 45, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 465, 45, 282 is 1.

Therefore, GCD of numbers 196, 465, 45, 282 is 1

Given Input Data is 196, 465, 45, 282

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

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 282 is 2 x 3 x 47

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(196, 465) = 91140

GCD(196, 465) = ( 196 x 465 ) / 91140

GCD(196, 465) = 91140 / 91140

GCD(196, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 196, 465, 45, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 748, 59, 775
• GCD of 294, 152, 78, 769
• GCD of 447, 281, 33, 122
• GCD of 590, 362, 37, 871
• GCD of 466, 109, 61, 483

1. What is the GCD of 196, 465, 45, 282?

GCD of 196, 465, 45, 282 is 1

2. Where do I get the detailed procedure to find GCD of 196, 465, 45, 282?

You can find a detailed procedure to find GCD of 196, 465, 45, 282 on our page.

3. How to find GCD of 196, 465, 45, 282 on a calculator?

You can find the GCD of 196, 465, 45, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.