GCD of 610, 755, 830 Calculator

Given Input numbers are 610, 755, 830

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 755

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

1, 5, 151, 755

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 610, 755, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 755, 830 is 5.

Therefore, GCD of numbers 610, 755, 830 is 5

Given Input Data is 610, 755, 830

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 755 is 5 x 151

Prime Factorization of 830 is 2 x 5 x 83

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(610, 755) = 92110

GCD(610, 755) = ( 610 x 755 ) / 92110

GCD(610, 755) = 460550 / 92110

GCD(610, 755) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 830

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

LCM(5, 830) = 830

GCD(5, 830) = ( 5 x 830 ) / 830

GCD(5, 830) = 4150 / 830

GCD(5, 830) = 5

GCD of 610, 755, 830 is 5

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 610, 755, 830?

GCD of 610, 755, 830 is 5

2. Where do I get the detailed procedure to find GCD of 610, 755, 830?

You can find a detailed procedure to find GCD of 610, 755, 830 on our page.

3. How to find GCD of 610, 755, 830 on a calculator?

You can find the GCD of 610, 755, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.