GCD of 152, 714, 367, 496 Calculator

Given Input numbers are 152, 714, 367, 496

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 152, 714, 367, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 714, 367, 496 is 1.

Therefore, GCD of numbers 152, 714, 367, 496 is 1

Given Input Data is 152, 714, 367, 496

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 367 is 367

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(152, 714) = 54264

GCD(152, 714) = ( 152 x 714 ) / 54264

GCD(152, 714) = 108528 / 54264

GCD(152, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 367

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

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

GCD(2, 367) = 734 / 734

GCD(2, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 152, 714, 367, 496 is 1

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1. What is the GCD of 152, 714, 367, 496?

GCD of 152, 714, 367, 496 is 1

2. Where do I get the detailed procedure to find GCD of 152, 714, 367, 496?

You can find a detailed procedure to find GCD of 152, 714, 367, 496 on our page.

3. How to find GCD of 152, 714, 367, 496 on a calculator?

You can find the GCD of 152, 714, 367, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.