GCD of 870, 212, 436, 122 Calculator

Given Input numbers are 870, 212, 436, 122

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

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

Divisors of 212

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

1, 2, 4, 53, 106, 212

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 870, 212, 436, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 212, 436, 122 is 2.

Therefore, GCD of numbers 870, 212, 436, 122 is 2

Given Input Data is 870, 212, 436, 122

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

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 122 is 2 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(870, 212) = 92220

GCD(870, 212) = ( 870 x 212 ) / 92220

GCD(870, 212) = 184440 / 92220

GCD(870, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 436

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

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

GCD(2, 436) = 872 / 436

GCD(2, 436) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 870, 212, 436, 122 is 2

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1. What is the GCD of 870, 212, 436, 122?

GCD of 870, 212, 436, 122 is 2

2. Where do I get the detailed procedure to find GCD of 870, 212, 436, 122?

You can find a detailed procedure to find GCD of 870, 212, 436, 122 on our page.

3. How to find GCD of 870, 212, 436, 122 on a calculator?

You can find the GCD of 870, 212, 436, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.