GCD of 105, 916, 40, 848 Calculator

Given Input numbers are 105, 916, 40, 848

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 105, 916, 40, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 916, 40, 848 is 1.

Therefore, GCD of numbers 105, 916, 40, 848 is 1

Given Input Data is 105, 916, 40, 848

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 916 is 2 x 2 x 229

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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, 916) = 96180

GCD(105, 916) = ( 105 x 916 ) / 96180

GCD(105, 916) = 96180 / 96180

GCD(105, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 105, 916, 40, 848 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 429, 53, 918
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• GCD of 165, 144, 37, 572
• GCD of 324, 972, 78, 560

1. What is the GCD of 105, 916, 40, 848?

GCD of 105, 916, 40, 848 is 1

2. Where do I get the detailed procedure to find GCD of 105, 916, 40, 848?

You can find a detailed procedure to find GCD of 105, 916, 40, 848 on our page.

3. How to find GCD of 105, 916, 40, 848 on a calculator?

You can find the GCD of 105, 916, 40, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.