GCD of 952, 105, 40, 569 Calculator

Given Input numbers are 952, 105, 40, 569

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 952, 105, 40, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 105, 40, 569 is 1.

Therefore, GCD of numbers 952, 105, 40, 569 is 1

Given Input Data is 952, 105, 40, 569

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 40 is 2 x 2 x 2 x 5

Prime Factorization of 569 is 569

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 40

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

LCM(7, 40) = 280

GCD(7, 40) = ( 7 x 40 ) / 280

GCD(7, 40) = 280 / 280

GCD(7, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

GCD of 952, 105, 40, 569 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 712, 49, 470
• GCD of 162, 438, 65, 991
• GCD of 605, 361, 75, 955
• GCD of 350, 530, 81, 916
• GCD of 439, 233, 65, 734

1. What is the GCD of 952, 105, 40, 569?

GCD of 952, 105, 40, 569 is 1

2. Where do I get the detailed procedure to find GCD of 952, 105, 40, 569?

You can find a detailed procedure to find GCD of 952, 105, 40, 569 on our page.

3. How to find GCD of 952, 105, 40, 569 on a calculator?

You can find the GCD of 952, 105, 40, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.