GCD of 146, 171, 69, 895 Calculator

Given Input numbers are 146, 171, 69, 895

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 146, 171, 69, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 171, 69, 895 is 1.

Therefore, GCD of numbers 146, 171, 69, 895 is 1

Given Input Data is 146, 171, 69, 895

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 69 is 3 x 23

Prime Factorization of 895 is 5 x 179

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(146, 171) = 24966

GCD(146, 171) = ( 146 x 171 ) / 24966

GCD(146, 171) = 24966 / 24966

GCD(146, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 146, 171, 69, 895 is 1

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1. What is the GCD of 146, 171, 69, 895?

GCD of 146, 171, 69, 895 is 1

2. Where do I get the detailed procedure to find GCD of 146, 171, 69, 895?

You can find a detailed procedure to find GCD of 146, 171, 69, 895 on our page.

3. How to find GCD of 146, 171, 69, 895 on a calculator?

You can find the GCD of 146, 171, 69, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.