GCD of 100, 879, 49, 876 Calculator

Given Input numbers are 100, 879, 49, 876

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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

Greatest Common Divisior

We found the divisors of 100, 879, 49, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 879, 49, 876 is 1.

Therefore, GCD of numbers 100, 879, 49, 876 is 1

Given Input Data is 100, 879, 49, 876

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 879 is 3 x 293

Prime Factorization of 49 is 7 x 7

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

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(100, 879) = 87900

GCD(100, 879) = ( 100 x 879 ) / 87900

GCD(100, 879) = 87900 / 87900

GCD(100, 879) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 100, 879, 49, 876 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 743, 79, 566
• GCD of 751, 389, 22, 182
• GCD of 148, 254, 87, 632
• GCD of 797, 208, 16, 517
• GCD of 832, 468, 52, 769

1. What is the GCD of 100, 879, 49, 876?

GCD of 100, 879, 49, 876 is 1

2. Where do I get the detailed procedure to find GCD of 100, 879, 49, 876?

You can find a detailed procedure to find GCD of 100, 879, 49, 876 on our page.

3. How to find GCD of 100, 879, 49, 876 on a calculator?

You can find the GCD of 100, 879, 49, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.