GCD of 142, 465, 42, 131 Calculator

Given Input numbers are 142, 465, 42, 131

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 142, 465, 42, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 465, 42, 131 is 1.

Therefore, GCD of numbers 142, 465, 42, 131 is 1

Given Input Data is 142, 465, 42, 131

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 131 is 131

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, 465) = 66030

GCD(142, 465) = ( 142 x 465 ) / 66030

GCD(142, 465) = 66030 / 66030

GCD(142, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 142, 465, 42, 131 is 1

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1. What is the GCD of 142, 465, 42, 131?

GCD of 142, 465, 42, 131 is 1

2. Where do I get the detailed procedure to find GCD of 142, 465, 42, 131?

You can find a detailed procedure to find GCD of 142, 465, 42, 131 on our page.

3. How to find GCD of 142, 465, 42, 131 on a calculator?

You can find the GCD of 142, 465, 42, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.