GCD of 940, 702, 530, 500 Calculator

Given Input numbers are 940, 702, 530, 500

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 940, 702, 530, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 702, 530, 500 is 2.

Therefore, GCD of numbers 940, 702, 530, 500 is 2

Given Input Data is 940, 702, 530, 500

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(940, 702) = 329940

GCD(940, 702) = ( 940 x 702 ) / 329940

GCD(940, 702) = 659880 / 329940

GCD(940, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 940, 702, 530, 500 is 2

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1. What is the GCD of 940, 702, 530, 500?

GCD of 940, 702, 530, 500 is 2

2. Where do I get the detailed procedure to find GCD of 940, 702, 530, 500?

You can find a detailed procedure to find GCD of 940, 702, 530, 500 on our page.

3. How to find GCD of 940, 702, 530, 500 on a calculator?

You can find the GCD of 940, 702, 530, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.