GCD of 104, 946, 260, 900 Calculator

Given Input numbers are 104, 946, 260, 900

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 104, 946, 260, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 946, 260, 900 is 2.

Therefore, GCD of numbers 104, 946, 260, 900 is 2

Given Input Data is 104, 946, 260, 900

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 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(104, 946) = 49192

GCD(104, 946) = ( 104 x 946 ) / 49192

GCD(104, 946) = 98384 / 49192

GCD(104, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 104, 946, 260, 900 is 2

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1. What is the GCD of 104, 946, 260, 900?

GCD of 104, 946, 260, 900 is 2

2. Where do I get the detailed procedure to find GCD of 104, 946, 260, 900?

You can find a detailed procedure to find GCD of 104, 946, 260, 900 on our page.

3. How to find GCD of 104, 946, 260, 900 on a calculator?

You can find the GCD of 104, 946, 260, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.