GCD of 986, 105, 57, 875 Calculator

Given Input numbers are 986, 105, 57, 875

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 986, 105, 57, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 105, 57, 875 is 1.

Therefore, GCD of numbers 986, 105, 57, 875 is 1

Given Input Data is 986, 105, 57, 875

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 57 is 3 x 19

Prime Factorization of 875 is 5 x 5 x 5 x 7

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(986, 105) = 103530

GCD(986, 105) = ( 986 x 105 ) / 103530

GCD(986, 105) = 103530 / 103530

GCD(986, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 986, 105, 57, 875 is 1

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1. What is the GCD of 986, 105, 57, 875?

GCD of 986, 105, 57, 875 is 1

2. Where do I get the detailed procedure to find GCD of 986, 105, 57, 875?

You can find a detailed procedure to find GCD of 986, 105, 57, 875 on our page.

3. How to find GCD of 986, 105, 57, 875 on a calculator?

You can find the GCD of 986, 105, 57, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.