GCD of 356, 199, 49, 869 Calculator

Given Input numbers are 356, 199, 49, 869

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 199

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

1, 199

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 356, 199, 49, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 199, 49, 869 is 1.

Therefore, GCD of numbers 356, 199, 49, 869 is 1

Given Input Data is 356, 199, 49, 869

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 199 is 199

Prime Factorization of 49 is 7 x 7

Prime Factorization of 869 is 11 x 79

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(356, 199) = 70844

GCD(356, 199) = ( 356 x 199 ) / 70844

GCD(356, 199) = 70844 / 70844

GCD(356, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 356, 199, 49, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 734, 13, 833
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• GCD of 134, 686, 12, 521

1. What is the GCD of 356, 199, 49, 869?

GCD of 356, 199, 49, 869 is 1

2. Where do I get the detailed procedure to find GCD of 356, 199, 49, 869?

You can find a detailed procedure to find GCD of 356, 199, 49, 869 on our page.

3. How to find GCD of 356, 199, 49, 869 on a calculator?

You can find the GCD of 356, 199, 49, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.