GCD of 914, 110, 146, 608 Calculator

Given Input numbers are 914, 110, 146, 608

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 914, 110, 146, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 110, 146, 608 is 2.

Therefore, GCD of numbers 914, 110, 146, 608 is 2

Given Input Data is 914, 110, 146, 608

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 146 is 2 x 73

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(914, 110) = 50270

GCD(914, 110) = ( 914 x 110 ) / 50270

GCD(914, 110) = 100540 / 50270

GCD(914, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 914, 110, 146, 608 is 2

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1. What is the GCD of 914, 110, 146, 608?

GCD of 914, 110, 146, 608 is 2

2. Where do I get the detailed procedure to find GCD of 914, 110, 146, 608?

You can find a detailed procedure to find GCD of 914, 110, 146, 608 on our page.

3. How to find GCD of 914, 110, 146, 608 on a calculator?

You can find the GCD of 914, 110, 146, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.