GCD of 649, 345, 226, 947 Calculator

Given Input numbers are 649, 345, 226, 947

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

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 649, 345, 226, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 345, 226, 947 is 1.

Therefore, GCD of numbers 649, 345, 226, 947 is 1

Given Input Data is 649, 345, 226, 947

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 226 is 2 x 113

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(649, 345) = 223905

GCD(649, 345) = ( 649 x 345 ) / 223905

GCD(649, 345) = 223905 / 223905

GCD(649, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 649, 345, 226, 947 is 1

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1. What is the GCD of 649, 345, 226, 947?

GCD of 649, 345, 226, 947 is 1

2. Where do I get the detailed procedure to find GCD of 649, 345, 226, 947?

You can find a detailed procedure to find GCD of 649, 345, 226, 947 on our page.

3. How to find GCD of 649, 345, 226, 947 on a calculator?

You can find the GCD of 649, 345, 226, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.