GCD of 147, 803, 418, 314 Calculator

Given Input numbers are 147, 803, 418, 314

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 147, 803, 418, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 803, 418, 314 is 1.

Therefore, GCD of numbers 147, 803, 418, 314 is 1

Given Input Data is 147, 803, 418, 314

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 803 is 11 x 73

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 314 is 2 x 157

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(147, 803) = 118041

GCD(147, 803) = ( 147 x 803 ) / 118041

GCD(147, 803) = 118041 / 118041

GCD(147, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 147, 803, 418, 314 is 1

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1. What is the GCD of 147, 803, 418, 314?

GCD of 147, 803, 418, 314 is 1

2. Where do I get the detailed procedure to find GCD of 147, 803, 418, 314?

You can find a detailed procedure to find GCD of 147, 803, 418, 314 on our page.

3. How to find GCD of 147, 803, 418, 314 on a calculator?

You can find the GCD of 147, 803, 418, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.