GCD of 147, 212, 609, 870 Calculator

Given Input numbers are 147, 212, 609, 870

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 212

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

1, 2, 4, 53, 106, 212

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 147, 212, 609, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 212, 609, 870 is 1.

Therefore, GCD of numbers 147, 212, 609, 870 is 1

Given Input Data is 147, 212, 609, 870

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(147, 212) = 31164

GCD(147, 212) = ( 147 x 212 ) / 31164

GCD(147, 212) = 31164 / 31164

GCD(147, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 147, 212, 609, 870 is 1

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1. What is the GCD of 147, 212, 609, 870?

GCD of 147, 212, 609, 870 is 1

2. Where do I get the detailed procedure to find GCD of 147, 212, 609, 870?

You can find a detailed procedure to find GCD of 147, 212, 609, 870 on our page.

3. How to find GCD of 147, 212, 609, 870 on a calculator?

You can find the GCD of 147, 212, 609, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.