GCD of 152, 294, 380, 521 Calculator

Given Input numbers are 152, 294, 380, 521

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 152, 294, 380, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 294, 380, 521 is 1.

Therefore, GCD of numbers 152, 294, 380, 521 is 1

Given Input Data is 152, 294, 380, 521

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 294 is 2 x 3 x 7 x 7

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 521 is 521

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, 294) = 22344

GCD(152, 294) = ( 152 x 294 ) / 22344

GCD(152, 294) = 44688 / 22344

GCD(152, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 521

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

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

GCD(2, 521) = 1042 / 1042

GCD(2, 521) = 1

GCD of 152, 294, 380, 521 is 1

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1. What is the GCD of 152, 294, 380, 521?

GCD of 152, 294, 380, 521 is 1

2. Where do I get the detailed procedure to find GCD of 152, 294, 380, 521?

You can find a detailed procedure to find GCD of 152, 294, 380, 521 on our page.

3. How to find GCD of 152, 294, 380, 521 on a calculator?

You can find the GCD of 152, 294, 380, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.