GCD of 270, 134, 92, 910 Calculator

Given Input numbers are 270, 134, 92, 910

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 134

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

1, 2, 67, 134

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 270, 134, 92, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 134, 92, 910 is 2.

Therefore, GCD of numbers 270, 134, 92, 910 is 2

Given Input Data is 270, 134, 92, 910

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 134 is 2 x 67

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 910 is 2 x 5 x 7 x 13

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(270, 134) = 18090

GCD(270, 134) = ( 270 x 134 ) / 18090

GCD(270, 134) = 36180 / 18090

GCD(270, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

GCD of 270, 134, 92, 910 is 2

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1. What is the GCD of 270, 134, 92, 910?

GCD of 270, 134, 92, 910 is 2

2. Where do I get the detailed procedure to find GCD of 270, 134, 92, 910?

You can find a detailed procedure to find GCD of 270, 134, 92, 910 on our page.

3. How to find GCD of 270, 134, 92, 910 on a calculator?

You can find the GCD of 270, 134, 92, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.