GCD of 296, 731, 66, 947 Calculator

Given Input numbers are 296, 731, 66, 947

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 296, 731, 66, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 731, 66, 947 is 1.

Therefore, GCD of numbers 296, 731, 66, 947 is 1

Given Input Data is 296, 731, 66, 947

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 731 is 17 x 43

Prime Factorization of 66 is 2 x 3 x 11

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(296, 731) = 216376

GCD(296, 731) = ( 296 x 731 ) / 216376

GCD(296, 731) = 216376 / 216376

GCD(296, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 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 296, 731, 66, 947 is 1

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1. What is the GCD of 296, 731, 66, 947?

GCD of 296, 731, 66, 947 is 1

2. Where do I get the detailed procedure to find GCD of 296, 731, 66, 947?

You can find a detailed procedure to find GCD of 296, 731, 66, 947 on our page.

3. How to find GCD of 296, 731, 66, 947 on a calculator?

You can find the GCD of 296, 731, 66, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.