GCD of 760, 598, 500, 270 Calculator

Given Input numbers are 760, 598, 500, 270

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 760, 598, 500, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 598, 500, 270 is 2.

Therefore, GCD of numbers 760, 598, 500, 270 is 2

Given Input Data is 760, 598, 500, 270

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 598 is 2 x 13 x 23

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 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(760, 598) = 227240

GCD(760, 598) = ( 760 x 598 ) / 227240

GCD(760, 598) = 454480 / 227240

GCD(760, 598) = 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 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 760, 598, 500, 270 is 2

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1. What is the GCD of 760, 598, 500, 270?

GCD of 760, 598, 500, 270 is 2

2. Where do I get the detailed procedure to find GCD of 760, 598, 500, 270?

You can find a detailed procedure to find GCD of 760, 598, 500, 270 on our page.

3. How to find GCD of 760, 598, 500, 270 on a calculator?

You can find the GCD of 760, 598, 500, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.