GCD of 58, 940, 500, 702 Calculator

Given Input numbers are 58, 940, 500, 702

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 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

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

Greatest Common Divisior

We found the divisors of 58, 940, 500, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 940, 500, 702 is 2.

Therefore, GCD of numbers 58, 940, 500, 702 is 2

Given Input Data is 58, 940, 500, 702

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

Prime Factorization of 58 is 2 x 29

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

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 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(58, 940) = 27260

GCD(58, 940) = ( 58 x 940 ) / 27260

GCD(58, 940) = 54520 / 27260

GCD(58, 940) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 58, 940, 500, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 636, 289, 376
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• GCD of 10, 320, 299, 517

1. What is the GCD of 58, 940, 500, 702?

GCD of 58, 940, 500, 702 is 2

2. Where do I get the detailed procedure to find GCD of 58, 940, 500, 702?

You can find a detailed procedure to find GCD of 58, 940, 500, 702 on our page.

3. How to find GCD of 58, 940, 500, 702 on a calculator?

You can find the GCD of 58, 940, 500, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.