GCD of 846, 856, 276, 100 Calculator

Given Input numbers are 846, 856, 276, 100

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

Greatest Common Divisior

We found the divisors of 846, 856, 276, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 856, 276, 100 is 2.

Therefore, GCD of numbers 846, 856, 276, 100 is 2

Given Input Data is 846, 856, 276, 100

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 276 is 2 x 2 x 3 x 23

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(846, 856) = 362088

GCD(846, 856) = ( 846 x 856 ) / 362088

GCD(846, 856) = 724176 / 362088

GCD(846, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 846, 856, 276, 100 is 2

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1. What is the GCD of 846, 856, 276, 100?

GCD of 846, 856, 276, 100 is 2

2. Where do I get the detailed procedure to find GCD of 846, 856, 276, 100?

You can find a detailed procedure to find GCD of 846, 856, 276, 100 on our page.

3. How to find GCD of 846, 856, 276, 100 on a calculator?

You can find the GCD of 846, 856, 276, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.