GCD of 119, 319, 284, 952 Calculator

Given Input numbers are 119, 319, 284, 952

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 319

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

1, 11, 29, 319

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 119, 319, 284, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 319, 284, 952 is 1.

Therefore, GCD of numbers 119, 319, 284, 952 is 1

Given Input Data is 119, 319, 284, 952

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 319 is 11 x 29

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(119, 319) = 37961

GCD(119, 319) = ( 119 x 319 ) / 37961

GCD(119, 319) = 37961 / 37961

GCD(119, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 119, 319, 284, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 244, 958, 812
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• GCD of 712, 837, 265, 856

1. What is the GCD of 119, 319, 284, 952?

GCD of 119, 319, 284, 952 is 1

2. Where do I get the detailed procedure to find GCD of 119, 319, 284, 952?

You can find a detailed procedure to find GCD of 119, 319, 284, 952 on our page.

3. How to find GCD of 119, 319, 284, 952 on a calculator?

You can find the GCD of 119, 319, 284, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.