GCD of 145, 610, 827 Calculator

Given Input numbers are 145, 610, 827

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 145, 610, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 610, 827 is 1.

Therefore, GCD of numbers 145, 610, 827 is 1

Given Input Data is 145, 610, 827

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 827 is 827

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(145, 610) = 17690

GCD(145, 610) = ( 145 x 610 ) / 17690

GCD(145, 610) = 88450 / 17690

GCD(145, 610) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 827

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

LCM(5, 827) = 4135

GCD(5, 827) = ( 5 x 827 ) / 4135

GCD(5, 827) = 4135 / 4135

GCD(5, 827) = 1

GCD of 145, 610, 827 is 1

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1. What is the GCD of 145, 610, 827?

GCD of 145, 610, 827 is 1

2. Where do I get the detailed procedure to find GCD of 145, 610, 827?

You can find a detailed procedure to find GCD of 145, 610, 827 on our page.

3. How to find GCD of 145, 610, 827 on a calculator?

You can find the GCD of 145, 610, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.