GCD of 319, 955, 74, 827 Calculator

Given Input numbers are 319, 955, 74, 827

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 74

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

1, 2, 37, 74

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 319, 955, 74, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 955, 74, 827 is 1.

Therefore, GCD of numbers 319, 955, 74, 827 is 1

Given Input Data is 319, 955, 74, 827

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 955 is 5 x 191

Prime Factorization of 74 is 2 x 37

Prime Factorization of 827 is 827

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(319, 955) = 304645

GCD(319, 955) = ( 319 x 955 ) / 304645

GCD(319, 955) = 304645 / 304645

GCD(319, 955) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 319, 955, 74, 827 is 1

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1. What is the GCD of 319, 955, 74, 827?

GCD of 319, 955, 74, 827 is 1

2. Where do I get the detailed procedure to find GCD of 319, 955, 74, 827?

You can find a detailed procedure to find GCD of 319, 955, 74, 827 on our page.

3. How to find GCD of 319, 955, 74, 827 on a calculator?

You can find the GCD of 319, 955, 74, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.