GCD of 952, 994, 44, 299 Calculator

Given Input numbers are 952, 994, 44, 299

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

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 952, 994, 44, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 994, 44, 299 is 1.

Therefore, GCD of numbers 952, 994, 44, 299 is 1

Given Input Data is 952, 994, 44, 299

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

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 299 is 13 x 23

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(952, 994) = 67592

GCD(952, 994) = ( 952 x 994 ) / 67592

GCD(952, 994) = 946288 / 67592

GCD(952, 994) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 44

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

LCM(14, 44) = 308

GCD(14, 44) = ( 14 x 44 ) / 308

GCD(14, 44) = 616 / 308

GCD(14, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 952, 994, 44, 299 is 1

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• GCD of 262, 623, 95, 180
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1. What is the GCD of 952, 994, 44, 299?

GCD of 952, 994, 44, 299 is 1

2. Where do I get the detailed procedure to find GCD of 952, 994, 44, 299?

You can find a detailed procedure to find GCD of 952, 994, 44, 299 on our page.

3. How to find GCD of 952, 994, 44, 299 on a calculator?

You can find the GCD of 952, 994, 44, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.