GCD of 506, 542, 46, 650 Calculator

Given Input numbers are 506, 542, 46, 650

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 506, 542, 46, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 542, 46, 650 is 2.

Therefore, GCD of numbers 506, 542, 46, 650 is 2

Given Input Data is 506, 542, 46, 650

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 542 is 2 x 271

Prime Factorization of 46 is 2 x 23

Prime Factorization of 650 is 2 x 5 x 5 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(506, 542) = 137126

GCD(506, 542) = ( 506 x 542 ) / 137126

GCD(506, 542) = 274252 / 137126

GCD(506, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

GCD of 506, 542, 46, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 802, 83, 488
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• GCD of 509, 550, 20, 891
• GCD of 131, 126, 50, 461
• GCD of 167, 651, 84, 825

1. What is the GCD of 506, 542, 46, 650?

GCD of 506, 542, 46, 650 is 2

2. Where do I get the detailed procedure to find GCD of 506, 542, 46, 650?

You can find a detailed procedure to find GCD of 506, 542, 46, 650 on our page.

3. How to find GCD of 506, 542, 46, 650 on a calculator?

You can find the GCD of 506, 542, 46, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.