GCD of 870, 792, 197, 106 Calculator

Given Input numbers are 870, 792, 197, 106

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 870, 792, 197, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 792, 197, 106 is 1.

Therefore, GCD of numbers 870, 792, 197, 106 is 1

Given Input Data is 870, 792, 197, 106

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 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 197 is 197

Prime Factorization of 106 is 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(870, 792) = 114840

GCD(870, 792) = ( 870 x 792 ) / 114840

GCD(870, 792) = 689040 / 114840

GCD(870, 792) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 197

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

LCM(6, 197) = 1182

GCD(6, 197) = ( 6 x 197 ) / 1182

GCD(6, 197) = 1182 / 1182

GCD(6, 197) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 870, 792, 197, 106 is 1

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1. What is the GCD of 870, 792, 197, 106?

GCD of 870, 792, 197, 106 is 1

2. Where do I get the detailed procedure to find GCD of 870, 792, 197, 106?

You can find a detailed procedure to find GCD of 870, 792, 197, 106 on our page.

3. How to find GCD of 870, 792, 197, 106 on a calculator?

You can find the GCD of 870, 792, 197, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.