GCD of 196, 882, 74, 263 Calculator

Given Input numbers are 196, 882, 74, 263

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 196, 882, 74, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 882, 74, 263 is 1.

Therefore, GCD of numbers 196, 882, 74, 263 is 1

Given Input Data is 196, 882, 74, 263

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 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 263 is 263

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, 882) = 1764

GCD(196, 882) = ( 196 x 882 ) / 1764

GCD(196, 882) = 172872 / 1764

GCD(196, 882) = 98

Step2:

Here we consider the GCD from the above i.e. 98 as first number and the next as 74

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

LCM(98, 74) = 3626

GCD(98, 74) = ( 98 x 74 ) / 3626

GCD(98, 74) = 7252 / 3626

GCD(98, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 263

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

LCM(2, 263) = 526

GCD(2, 263) = ( 2 x 263 ) / 526

GCD(2, 263) = 526 / 526

GCD(2, 263) = 1

GCD of 196, 882, 74, 263 is 1

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1. What is the GCD of 196, 882, 74, 263?

GCD of 196, 882, 74, 263 is 1

2. Where do I get the detailed procedure to find GCD of 196, 882, 74, 263?

You can find a detailed procedure to find GCD of 196, 882, 74, 263 on our page.

3. How to find GCD of 196, 882, 74, 263 on a calculator?

You can find the GCD of 196, 882, 74, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.