GCD of 760, 554, 163, 500 Calculator

Given Input numbers are 760, 554, 163, 500

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

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

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 760, 554, 163, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 554, 163, 500 is 1.

Therefore, GCD of numbers 760, 554, 163, 500 is 1

Given Input Data is 760, 554, 163, 500

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

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 163 is 163

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

The above numbers do not have any common prime factor. So GCD is 1

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(760, 554) = 210520

GCD(760, 554) = ( 760 x 554 ) / 210520

GCD(760, 554) = 421040 / 210520

GCD(760, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 760, 554, 163, 500 is 1

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1. What is the GCD of 760, 554, 163, 500?

GCD of 760, 554, 163, 500 is 1

2. Where do I get the detailed procedure to find GCD of 760, 554, 163, 500?

You can find a detailed procedure to find GCD of 760, 554, 163, 500 on our page.

3. How to find GCD of 760, 554, 163, 500 on a calculator?

You can find the GCD of 760, 554, 163, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.