GCD of 947, 452, 136, 314 Calculator

Given Input numbers are 947, 452, 136, 314

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

Divisors of 947

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

1, 947

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

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 947, 452, 136, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 452, 136, 314 is 1.

Therefore, GCD of numbers 947, 452, 136, 314 is 1

Given Input Data is 947, 452, 136, 314

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

Prime Factorization of 947 is 947

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(947, 452) = 428044

GCD(947, 452) = ( 947 x 452 ) / 428044

GCD(947, 452) = 428044 / 428044

GCD(947, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 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 947, 452, 136, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 147, 563, 599
• GCD of 761, 909, 714, 253
• GCD of 144, 187, 146, 745
• GCD of 465, 615, 735, 705
• GCD of 570, 426, 426, 843

1. What is the GCD of 947, 452, 136, 314?

GCD of 947, 452, 136, 314 is 1

2. Where do I get the detailed procedure to find GCD of 947, 452, 136, 314?

You can find a detailed procedure to find GCD of 947, 452, 136, 314 on our page.

3. How to find GCD of 947, 452, 136, 314 on a calculator?

You can find the GCD of 947, 452, 136, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.