GCD of 196, 216, 265, 448 Calculator

Given Input numbers are 196, 216, 265, 448

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 196, 216, 265, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 216, 265, 448 is 1.

Therefore, GCD of numbers 196, 216, 265, 448 is 1

Given Input Data is 196, 216, 265, 448

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 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 265 is 5 x 53

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 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(196, 216) = 10584

GCD(196, 216) = ( 196 x 216 ) / 10584

GCD(196, 216) = 42336 / 10584

GCD(196, 216) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 265

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

LCM(4, 265) = 1060

GCD(4, 265) = ( 4 x 265 ) / 1060

GCD(4, 265) = 1060 / 1060

GCD(4, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 196, 216, 265, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 999, 916, 851
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1. What is the GCD of 196, 216, 265, 448?

GCD of 196, 216, 265, 448 is 1

2. Where do I get the detailed procedure to find GCD of 196, 216, 265, 448?

You can find a detailed procedure to find GCD of 196, 216, 265, 448 on our page.

3. How to find GCD of 196, 216, 265, 448 on a calculator?

You can find the GCD of 196, 216, 265, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.