GCD of 149, 207, 825, 212 Calculator

Given Input numbers are 149, 207, 825, 212

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 149, 207, 825, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 207, 825, 212 is 1.

Therefore, GCD of numbers 149, 207, 825, 212 is 1

Given Input Data is 149, 207, 825, 212

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

Prime Factorization of 149 is 149

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 212 is 2 x 2 x 53

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(149, 207) = 30843

GCD(149, 207) = ( 149 x 207 ) / 30843

GCD(149, 207) = 30843 / 30843

GCD(149, 207) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 149, 207, 825, 212 is 1

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1. What is the GCD of 149, 207, 825, 212?

GCD of 149, 207, 825, 212 is 1

2. Where do I get the detailed procedure to find GCD of 149, 207, 825, 212?

You can find a detailed procedure to find GCD of 149, 207, 825, 212 on our page.

3. How to find GCD of 149, 207, 825, 212 on a calculator?

You can find the GCD of 149, 207, 825, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.