GCD of 437, 189, 93, 870 Calculator

Given Input numbers are 437, 189, 93, 870

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

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 437, 189, 93, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 189, 93, 870 is 1.

Therefore, GCD of numbers 437, 189, 93, 870 is 1

Given Input Data is 437, 189, 93, 870

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

Prime Factorization of 437 is 19 x 23

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 93 is 3 x 31

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(437, 189) = 82593

GCD(437, 189) = ( 437 x 189 ) / 82593

GCD(437, 189) = 82593 / 82593

GCD(437, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 93

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

LCM(1, 93) = 93

GCD(1, 93) = ( 1 x 93 ) / 93

GCD(1, 93) = 93 / 93

GCD(1, 93) = 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 437, 189, 93, 870 is 1

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1. What is the GCD of 437, 189, 93, 870?

GCD of 437, 189, 93, 870 is 1

2. Where do I get the detailed procedure to find GCD of 437, 189, 93, 870?

You can find a detailed procedure to find GCD of 437, 189, 93, 870 on our page.

3. How to find GCD of 437, 189, 93, 870 on a calculator?

You can find the GCD of 437, 189, 93, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.