GCD of 870, 126, 34, 947 Calculator

Given Input numbers are 870, 126, 34, 947

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 870, 126, 34, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 126, 34, 947 is 1.

Therefore, GCD of numbers 870, 126, 34, 947 is 1

Given Input Data is 870, 126, 34, 947

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 947 is 947

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, 126) = 18270

GCD(870, 126) = ( 870 x 126 ) / 18270

GCD(870, 126) = 109620 / 18270

GCD(870, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 34

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

LCM(6, 34) = 102

GCD(6, 34) = ( 6 x 34 ) / 102

GCD(6, 34) = 204 / 102

GCD(6, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

GCD of 870, 126, 34, 947 is 1

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1. What is the GCD of 870, 126, 34, 947?

GCD of 870, 126, 34, 947 is 1

2. Where do I get the detailed procedure to find GCD of 870, 126, 34, 947?

You can find a detailed procedure to find GCD of 870, 126, 34, 947 on our page.

3. How to find GCD of 870, 126, 34, 947 on a calculator?

You can find the GCD of 870, 126, 34, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.