GCD of 255, 375, 785 Calculator

Given Input numbers are 255, 375, 785

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 255, 375, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 375, 785 is 5.

Therefore, GCD of numbers 255, 375, 785 is 5

Given Input Data is 255, 375, 785

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 785 is 5 x 157

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(255, 375) = 6375

GCD(255, 375) = ( 255 x 375 ) / 6375

GCD(255, 375) = 95625 / 6375

GCD(255, 375) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 785

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

LCM(15, 785) = 2355

GCD(15, 785) = ( 15 x 785 ) / 2355

GCD(15, 785) = 11775 / 2355

GCD(15, 785) = 5

GCD of 255, 375, 785 is 5

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• GCD of 487, 526, 714
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1. What is the GCD of 255, 375, 785?

GCD of 255, 375, 785 is 5

2. Where do I get the detailed procedure to find GCD of 255, 375, 785?

You can find a detailed procedure to find GCD of 255, 375, 785 on our page.

3. How to find GCD of 255, 375, 785 on a calculator?

You can find the GCD of 255, 375, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.