GCD of 145, 860, 229, 645 Calculator

Given Input numbers are 145, 860, 229, 645

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 145, 860, 229, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 860, 229, 645 is 1.

Therefore, GCD of numbers 145, 860, 229, 645 is 1

Given Input Data is 145, 860, 229, 645

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 229 is 229

Prime Factorization of 645 is 3 x 5 x 43

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, 860) = 24940

GCD(145, 860) = ( 145 x 860 ) / 24940

GCD(145, 860) = 124700 / 24940

GCD(145, 860) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 229

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

LCM(5, 229) = 1145

GCD(5, 229) = ( 5 x 229 ) / 1145

GCD(5, 229) = 1145 / 1145

GCD(5, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 145, 860, 229, 645 is 1

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1. What is the GCD of 145, 860, 229, 645?

GCD of 145, 860, 229, 645 is 1

2. Where do I get the detailed procedure to find GCD of 145, 860, 229, 645?

You can find a detailed procedure to find GCD of 145, 860, 229, 645 on our page.

3. How to find GCD of 145, 860, 229, 645 on a calculator?

You can find the GCD of 145, 860, 229, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.