GCD of 920, 376, 146, 590 Calculator

Given Input numbers are 920, 376, 146, 590

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 146

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

1, 2, 73, 146

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 920, 376, 146, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 376, 146, 590 is 2.

Therefore, GCD of numbers 920, 376, 146, 590 is 2

Given Input Data is 920, 376, 146, 590

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 146 is 2 x 73

Prime Factorization of 590 is 2 x 5 x 59

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(920, 376) = 43240

GCD(920, 376) = ( 920 x 376 ) / 43240

GCD(920, 376) = 345920 / 43240

GCD(920, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 146

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

LCM(8, 146) = 584

GCD(8, 146) = ( 8 x 146 ) / 584

GCD(8, 146) = 1168 / 584

GCD(8, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 920, 376, 146, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 343, 755, 605
• GCD of 799, 155, 271, 560
• GCD of 707, 538, 159, 901
• GCD of 551, 702, 856, 259
• GCD of 882, 648, 589, 563

1. What is the GCD of 920, 376, 146, 590?

GCD of 920, 376, 146, 590 is 2

2. Where do I get the detailed procedure to find GCD of 920, 376, 146, 590?

You can find a detailed procedure to find GCD of 920, 376, 146, 590 on our page.

3. How to find GCD of 920, 376, 146, 590 on a calculator?

You can find the GCD of 920, 376, 146, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.