GCD of 312, 147, 391, 153 Calculator

Given Input numbers are 312, 147, 391, 153

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 312, 147, 391, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 147, 391, 153 is 1.

Therefore, GCD of numbers 312, 147, 391, 153 is 1

Given Input Data is 312, 147, 391, 153

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 391 is 17 x 23

Prime Factorization of 153 is 3 x 3 x 17

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(312, 147) = 15288

GCD(312, 147) = ( 312 x 147 ) / 15288

GCD(312, 147) = 45864 / 15288

GCD(312, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 391

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

LCM(3, 391) = 1173

GCD(3, 391) = ( 3 x 391 ) / 1173

GCD(3, 391) = 1173 / 1173

GCD(3, 391) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 312, 147, 391, 153 is 1

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1. What is the GCD of 312, 147, 391, 153?

GCD of 312, 147, 391, 153 is 1

2. Where do I get the detailed procedure to find GCD of 312, 147, 391, 153?

You can find a detailed procedure to find GCD of 312, 147, 391, 153 on our page.

3. How to find GCD of 312, 147, 391, 153 on a calculator?

You can find the GCD of 312, 147, 391, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.