GCD of 302, 147, 71, 963 Calculator

Given Input numbers are 302, 147, 71, 963

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 302, 147, 71, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 147, 71, 963 is 1.

Therefore, GCD of numbers 302, 147, 71, 963 is 1

Given Input Data is 302, 147, 71, 963

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 71 is 71

Prime Factorization of 963 is 3 x 3 x 107

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(302, 147) = 44394

GCD(302, 147) = ( 302 x 147 ) / 44394

GCD(302, 147) = 44394 / 44394

GCD(302, 147) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 302, 147, 71, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 717, 65, 959
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• GCD of 178, 633, 96, 675

1. What is the GCD of 302, 147, 71, 963?

GCD of 302, 147, 71, 963 is 1

2. Where do I get the detailed procedure to find GCD of 302, 147, 71, 963?

You can find a detailed procedure to find GCD of 302, 147, 71, 963 on our page.

3. How to find GCD of 302, 147, 71, 963 on a calculator?

You can find the GCD of 302, 147, 71, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.