GCD of 199, 882, 947, 257 Calculator

Given Input numbers are 199, 882, 947, 257

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

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 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 199, 882, 947, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 882, 947, 257 is 1.

Therefore, GCD of numbers 199, 882, 947, 257 is 1

Given Input Data is 199, 882, 947, 257

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

Prime Factorization of 199 is 199

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 947 is 947

Prime Factorization of 257 is 257

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(199, 882) = 175518

GCD(199, 882) = ( 199 x 882 ) / 175518

GCD(199, 882) = 175518 / 175518

GCD(199, 882) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 199, 882, 947, 257 is 1

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• GCD of 431, 754, 316, 781
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1. What is the GCD of 199, 882, 947, 257?

GCD of 199, 882, 947, 257 is 1

2. Where do I get the detailed procedure to find GCD of 199, 882, 947, 257?

You can find a detailed procedure to find GCD of 199, 882, 947, 257 on our page.

3. How to find GCD of 199, 882, 947, 257 on a calculator?

You can find the GCD of 199, 882, 947, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.