GCD of 908, 964, 986, 103 Calculator

Given Input numbers are 908, 964, 986, 103

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 908, 964, 986, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 964, 986, 103 is 1.

Therefore, GCD of numbers 908, 964, 986, 103 is 1

Given Input Data is 908, 964, 986, 103

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 103 is 103

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(908, 964) = 218828

GCD(908, 964) = ( 908 x 964 ) / 218828

GCD(908, 964) = 875312 / 218828

GCD(908, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 986

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

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

GCD(4, 986) = 3944 / 1972

GCD(4, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

GCD of 908, 964, 986, 103 is 1

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1. What is the GCD of 908, 964, 986, 103?

GCD of 908, 964, 986, 103 is 1

2. Where do I get the detailed procedure to find GCD of 908, 964, 986, 103?

You can find a detailed procedure to find GCD of 908, 964, 986, 103 on our page.

3. How to find GCD of 908, 964, 986, 103 on a calculator?

You can find the GCD of 908, 964, 986, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.