GCD of 152, 408, 80, 295 Calculator

Given Input numbers are 152, 408, 80, 295

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 152, 408, 80, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 408, 80, 295 is 1.

Therefore, GCD of numbers 152, 408, 80, 295 is 1

Given Input Data is 152, 408, 80, 295

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 295 is 5 x 59

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, 408) = 7752

GCD(152, 408) = ( 152 x 408 ) / 7752

GCD(152, 408) = 62016 / 7752

GCD(152, 408) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 80

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

LCM(8, 80) = 80

GCD(8, 80) = ( 8 x 80 ) / 80

GCD(8, 80) = 640 / 80

GCD(8, 80) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 295

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

LCM(8, 295) = 2360

GCD(8, 295) = ( 8 x 295 ) / 2360

GCD(8, 295) = 2360 / 2360

GCD(8, 295) = 1

GCD of 152, 408, 80, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 761, 51, 736
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• GCD of 129, 678, 95, 332

1. What is the GCD of 152, 408, 80, 295?

GCD of 152, 408, 80, 295 is 1

2. Where do I get the detailed procedure to find GCD of 152, 408, 80, 295?

You can find a detailed procedure to find GCD of 152, 408, 80, 295 on our page.

3. How to find GCD of 152, 408, 80, 295 on a calculator?

You can find the GCD of 152, 408, 80, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.