GCD of 876, 400, 99, 106 Calculator

Given Input numbers are 876, 400, 99, 106

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 876, 400, 99, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 400, 99, 106 is 1.

Therefore, GCD of numbers 876, 400, 99, 106 is 1

Given Input Data is 876, 400, 99, 106

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 106 is 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(876, 400) = 87600

GCD(876, 400) = ( 876 x 400 ) / 87600

GCD(876, 400) = 350400 / 87600

GCD(876, 400) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 99

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

LCM(4, 99) = 396

GCD(4, 99) = ( 4 x 99 ) / 396

GCD(4, 99) = 396 / 396

GCD(4, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 876, 400, 99, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 686, 25, 457
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• GCD of 352, 267, 65, 476

1. What is the GCD of 876, 400, 99, 106?

GCD of 876, 400, 99, 106 is 1

2. Where do I get the detailed procedure to find GCD of 876, 400, 99, 106?

You can find a detailed procedure to find GCD of 876, 400, 99, 106 on our page.

3. How to find GCD of 876, 400, 99, 106 on a calculator?

You can find the GCD of 876, 400, 99, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.