GCD of 470, 947, 114, 902 Calculator

Given Input numbers are 470, 947, 114, 902

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 947

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

1, 947

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 470, 947, 114, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 947, 114, 902 is 1.

Therefore, GCD of numbers 470, 947, 114, 902 is 1

Given Input Data is 470, 947, 114, 902

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 947 is 947

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 902 is 2 x 11 x 41

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(470, 947) = 445090

GCD(470, 947) = ( 470 x 947 ) / 445090

GCD(470, 947) = 445090 / 445090

GCD(470, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 470, 947, 114, 902 is 1

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1. What is the GCD of 470, 947, 114, 902?

GCD of 470, 947, 114, 902 is 1

2. Where do I get the detailed procedure to find GCD of 470, 947, 114, 902?

You can find a detailed procedure to find GCD of 470, 947, 114, 902 on our page.

3. How to find GCD of 470, 947, 114, 902 on a calculator?

You can find the GCD of 470, 947, 114, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.