GCD of 486, 926, 746, 146 Calculator

Given Input numbers are 486, 926, 746, 146

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

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 486, 926, 746, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 926, 746, 146 is 2.

Therefore, GCD of numbers 486, 926, 746, 146 is 2

Given Input Data is 486, 926, 746, 146

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 926 is 2 x 463

Prime Factorization of 746 is 2 x 373

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(486, 926) = 225018

GCD(486, 926) = ( 486 x 926 ) / 225018

GCD(486, 926) = 450036 / 225018

GCD(486, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

Step3:

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

GCD of 486, 926, 746, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 497, 403, 117
• GCD of 657, 246, 263, 899
• GCD of 864, 269, 864, 539
• GCD of 563, 235, 900, 538
• GCD of 645, 374, 852, 379

1. What is the GCD of 486, 926, 746, 146?

GCD of 486, 926, 746, 146 is 2

2. Where do I get the detailed procedure to find GCD of 486, 926, 746, 146?

You can find a detailed procedure to find GCD of 486, 926, 746, 146 on our page.

3. How to find GCD of 486, 926, 746, 146 on a calculator?

You can find the GCD of 486, 926, 746, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.