GCD of 500, 760, 455 Calculator

Given Input numbers are 500, 760, 455

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

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 500, 760, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 760, 455 is 5.

Therefore, GCD of numbers 500, 760, 455 is 5

Given Input Data is 500, 760, 455

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

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 455 is 5 x 7 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(500, 760) = 19000

GCD(500, 760) = ( 500 x 760 ) / 19000

GCD(500, 760) = 380000 / 19000

GCD(500, 760) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 455

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

LCM(20, 455) = 1820

GCD(20, 455) = ( 20 x 455 ) / 1820

GCD(20, 455) = 9100 / 1820

GCD(20, 455) = 5

GCD of 500, 760, 455 is 5

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1. What is the GCD of 500, 760, 455?

GCD of 500, 760, 455 is 5

2. Where do I get the detailed procedure to find GCD of 500, 760, 455?

You can find a detailed procedure to find GCD of 500, 760, 455 on our page.

3. How to find GCD of 500, 760, 455 on a calculator?

You can find the GCD of 500, 760, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.