GCD of 40, 950, 506, 102 Calculator

Given Input numbers are 40, 950, 506, 102

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 40, 950, 506, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 950, 506, 102 is 2.

Therefore, GCD of numbers 40, 950, 506, 102 is 2

Given Input Data is 40, 950, 506, 102

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 102 is 2 x 3 x 17

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(40, 950) = 3800

GCD(40, 950) = ( 40 x 950 ) / 3800

GCD(40, 950) = 38000 / 3800

GCD(40, 950) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 506

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

LCM(10, 506) = 2530

GCD(10, 506) = ( 10 x 506 ) / 2530

GCD(10, 506) = 5060 / 2530

GCD(10, 506) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

GCD of 40, 950, 506, 102 is 2

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• GCD of 35, 302, 398, 247
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• GCD of 35, 121, 832, 563

1. What is the GCD of 40, 950, 506, 102?

GCD of 40, 950, 506, 102 is 2

2. Where do I get the detailed procedure to find GCD of 40, 950, 506, 102?

You can find a detailed procedure to find GCD of 40, 950, 506, 102 on our page.

3. How to find GCD of 40, 950, 506, 102 on a calculator?

You can find the GCD of 40, 950, 506, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.