GCD of 145, 110, 171, 141 Calculator

Given Input numbers are 145, 110, 171, 141

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 145, 110, 171, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 110, 171, 141 is 1.

Therefore, GCD of numbers 145, 110, 171, 141 is 1

Given Input Data is 145, 110, 171, 141

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 141 is 3 x 47

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, 110) = 3190

GCD(145, 110) = ( 145 x 110 ) / 3190

GCD(145, 110) = 15950 / 3190

GCD(145, 110) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 171

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

LCM(5, 171) = 855

GCD(5, 171) = ( 5 x 171 ) / 855

GCD(5, 171) = 855 / 855

GCD(5, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 145, 110, 171, 141 is 1

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1. What is the GCD of 145, 110, 171, 141?

GCD of 145, 110, 171, 141 is 1

2. Where do I get the detailed procedure to find GCD of 145, 110, 171, 141?

You can find a detailed procedure to find GCD of 145, 110, 171, 141 on our page.

3. How to find GCD of 145, 110, 171, 141 on a calculator?

You can find the GCD of 145, 110, 171, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.