GCD of 105, 952, 14, 869 Calculator

Given Input numbers are 105, 952, 14, 869

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

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 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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 105, 952, 14, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 952, 14, 869 is 1.

Therefore, GCD of numbers 105, 952, 14, 869 is 1

Given Input Data is 105, 952, 14, 869

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

Prime Factorization of 105 is 3 x 5 x 7

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

Prime Factorization of 14 is 2 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(105, 952) = 14280

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

GCD(105, 952) = 99960 / 14280

GCD(105, 952) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 14

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

LCM(7, 14) = 14

GCD(7, 14) = ( 7 x 14 ) / 14

GCD(7, 14) = 98 / 14

GCD(7, 14) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 869

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

LCM(7, 869) = 6083

GCD(7, 869) = ( 7 x 869 ) / 6083

GCD(7, 869) = 6083 / 6083

GCD(7, 869) = 1

GCD of 105, 952, 14, 869 is 1

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1. What is the GCD of 105, 952, 14, 869?

GCD of 105, 952, 14, 869 is 1

2. Where do I get the detailed procedure to find GCD of 105, 952, 14, 869?

You can find a detailed procedure to find GCD of 105, 952, 14, 869 on our page.

3. How to find GCD of 105, 952, 14, 869 on a calculator?

You can find the GCD of 105, 952, 14, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.