GCD of 142, 171, 45, 526 Calculator

Given Input numbers are 142, 171, 45, 526

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 142, 171, 45, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 171, 45, 526 is 1.

Therefore, GCD of numbers 142, 171, 45, 526 is 1

Given Input Data is 142, 171, 45, 526

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 526 is 2 x 263

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(142, 171) = 24282

GCD(142, 171) = ( 142 x 171 ) / 24282

GCD(142, 171) = 24282 / 24282

GCD(142, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 142, 171, 45, 526 is 1

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1. What is the GCD of 142, 171, 45, 526?

GCD of 142, 171, 45, 526 is 1

2. Where do I get the detailed procedure to find GCD of 142, 171, 45, 526?

You can find a detailed procedure to find GCD of 142, 171, 45, 526 on our page.

3. How to find GCD of 142, 171, 45, 526 on a calculator?

You can find the GCD of 142, 171, 45, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.