GCD of 910, 300, 140, 146 Calculator

Given Input numbers are 910, 300, 140, 146

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

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 146

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

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 910, 300, 140, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 300, 140, 146 is 2.

Therefore, GCD of numbers 910, 300, 140, 146 is 2

Given Input Data is 910, 300, 140, 146

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

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 146 is 2 x 73

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(910, 300) = 27300

GCD(910, 300) = ( 910 x 300 ) / 27300

GCD(910, 300) = 273000 / 27300

GCD(910, 300) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 140

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

LCM(10, 140) = 140

GCD(10, 140) = ( 10 x 140 ) / 140

GCD(10, 140) = 1400 / 140

GCD(10, 140) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 146

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

LCM(10, 146) = 730

GCD(10, 146) = ( 10 x 146 ) / 730

GCD(10, 146) = 1460 / 730

GCD(10, 146) = 2

GCD of 910, 300, 140, 146 is 2

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1. What is the GCD of 910, 300, 140, 146?

GCD of 910, 300, 140, 146 is 2

2. Where do I get the detailed procedure to find GCD of 910, 300, 140, 146?

You can find a detailed procedure to find GCD of 910, 300, 140, 146 on our page.

3. How to find GCD of 910, 300, 140, 146 on a calculator?

You can find the GCD of 910, 300, 140, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.