GCD of 58, 950, 762, 506 Calculator

Given Input numbers are 58, 950, 762, 506

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 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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 506

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

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

Greatest Common Divisior

We found the divisors of 58, 950, 762, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 950, 762, 506 is 2.

Therefore, GCD of numbers 58, 950, 762, 506 is 2

Given Input Data is 58, 950, 762, 506

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

Prime Factorization of 58 is 2 x 29

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 506 is 2 x 11 x 23

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, 950) = 27550

GCD(58, 950) = ( 58 x 950 ) / 27550

GCD(58, 950) = 55100 / 27550

GCD(58, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 58, 950, 762, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 278, 917, 217
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• GCD of 27, 870, 198, 614

1. What is the GCD of 58, 950, 762, 506?

GCD of 58, 950, 762, 506 is 2

2. Where do I get the detailed procedure to find GCD of 58, 950, 762, 506?

You can find a detailed procedure to find GCD of 58, 950, 762, 506 on our page.

3. How to find GCD of 58, 950, 762, 506 on a calculator?

You can find the GCD of 58, 950, 762, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.