GCD of 765, 605, 755 Calculator

Given Input numbers are 765, 605, 755

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 765, 605, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 605, 755 is 5.

Therefore, GCD of numbers 765, 605, 755 is 5

Given Input Data is 765, 605, 755

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 755 is 5 x 151

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(765, 605) = 92565

GCD(765, 605) = ( 765 x 605 ) / 92565

GCD(765, 605) = 462825 / 92565

GCD(765, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 755

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

LCM(5, 755) = 755

GCD(5, 755) = ( 5 x 755 ) / 755

GCD(5, 755) = 3775 / 755

GCD(5, 755) = 5

GCD of 765, 605, 755 is 5

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1. What is the GCD of 765, 605, 755?

GCD of 765, 605, 755 is 5

2. Where do I get the detailed procedure to find GCD of 765, 605, 755?

You can find a detailed procedure to find GCD of 765, 605, 755 on our page.

3. How to find GCD of 765, 605, 755 on a calculator?

You can find the GCD of 765, 605, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.