GCD of 134, 840, 13, 900 Calculator

Given Input numbers are 134, 840, 13, 900

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 134, 840, 13, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 840, 13, 900 is 1.

Therefore, GCD of numbers 134, 840, 13, 900 is 1

Given Input Data is 134, 840, 13, 900

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 13 is 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(134, 840) = 56280

GCD(134, 840) = ( 134 x 840 ) / 56280

GCD(134, 840) = 112560 / 56280

GCD(134, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 134, 840, 13, 900 is 1

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1. What is the GCD of 134, 840, 13, 900?

GCD of 134, 840, 13, 900 is 1

2. Where do I get the detailed procedure to find GCD of 134, 840, 13, 900?

You can find a detailed procedure to find GCD of 134, 840, 13, 900 on our page.

3. How to find GCD of 134, 840, 13, 900 on a calculator?

You can find the GCD of 134, 840, 13, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.