GCD of 952, 105, 55, 884 Calculator

Given Input numbers are 952, 105, 55, 884

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 952, 105, 55, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 105, 55, 884 is 1.

Therefore, GCD of numbers 952, 105, 55, 884 is 1

Given Input Data is 952, 105, 55, 884

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 105 is 3 x 5 x 7

Prime Factorization of 55 is 5 x 11

Prime Factorization of 884 is 2 x 2 x 13 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(952, 105) = 14280

GCD(952, 105) = ( 952 x 105 ) / 14280

GCD(952, 105) = 99960 / 14280

GCD(952, 105) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 55

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

LCM(7, 55) = 385

GCD(7, 55) = ( 7 x 55 ) / 385

GCD(7, 55) = 385 / 385

GCD(7, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 952, 105, 55, 884 is 1

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1. What is the GCD of 952, 105, 55, 884?

GCD of 952, 105, 55, 884 is 1

2. Where do I get the detailed procedure to find GCD of 952, 105, 55, 884?

You can find a detailed procedure to find GCD of 952, 105, 55, 884 on our page.

3. How to find GCD of 952, 105, 55, 884 on a calculator?

You can find the GCD of 952, 105, 55, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.