GCD of 852, 146, 543, 142 Calculator

Given Input numbers are 852, 146, 543, 142

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 146

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

1, 2, 73, 146

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 852, 146, 543, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 146, 543, 142 is 1.

Therefore, GCD of numbers 852, 146, 543, 142 is 1

Given Input Data is 852, 146, 543, 142

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 146 is 2 x 73

Prime Factorization of 543 is 3 x 181

Prime Factorization of 142 is 2 x 71

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(852, 146) = 62196

GCD(852, 146) = ( 852 x 146 ) / 62196

GCD(852, 146) = 124392 / 62196

GCD(852, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 543

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

LCM(2, 543) = 1086

GCD(2, 543) = ( 2 x 543 ) / 1086

GCD(2, 543) = 1086 / 1086

GCD(2, 543) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 852, 146, 543, 142 is 1

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1. What is the GCD of 852, 146, 543, 142?

GCD of 852, 146, 543, 142 is 1

2. Where do I get the detailed procedure to find GCD of 852, 146, 543, 142?

You can find a detailed procedure to find GCD of 852, 146, 543, 142 on our page.

3. How to find GCD of 852, 146, 543, 142 on a calculator?

You can find the GCD of 852, 146, 543, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.