GCD of 212, 142, 45, 899 Calculator

Given Input numbers are 212, 142, 45, 899

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 142

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

1, 2, 71, 142

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 212, 142, 45, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 142, 45, 899 is 1.

Therefore, GCD of numbers 212, 142, 45, 899 is 1

Given Input Data is 212, 142, 45, 899

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 142 is 2 x 71

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 899 is 29 x 31

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(212, 142) = 15052

GCD(212, 142) = ( 212 x 142 ) / 15052

GCD(212, 142) = 30104 / 15052

GCD(212, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 212, 142, 45, 899 is 1

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• GCD of 834, 209, 67, 965
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• GCD of 336, 893, 49, 568

1. What is the GCD of 212, 142, 45, 899?

GCD of 212, 142, 45, 899 is 1

2. Where do I get the detailed procedure to find GCD of 212, 142, 45, 899?

You can find a detailed procedure to find GCD of 212, 142, 45, 899 on our page.

3. How to find GCD of 212, 142, 45, 899 on a calculator?

You can find the GCD of 212, 142, 45, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.