GCD of 352, 311, 80, 975 Calculator

Given Input numbers are 352, 311, 80, 975

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 352, 311, 80, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 311, 80, 975 is 1.

Therefore, GCD of numbers 352, 311, 80, 975 is 1

Given Input Data is 352, 311, 80, 975

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 311 is 311

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(352, 311) = 109472

GCD(352, 311) = ( 352 x 311 ) / 109472

GCD(352, 311) = 109472 / 109472

GCD(352, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 352, 311, 80, 975 is 1

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1. What is the GCD of 352, 311, 80, 975?

GCD of 352, 311, 80, 975 is 1

2. Where do I get the detailed procedure to find GCD of 352, 311, 80, 975?

You can find a detailed procedure to find GCD of 352, 311, 80, 975 on our page.

3. How to find GCD of 352, 311, 80, 975 on a calculator?

You can find the GCD of 352, 311, 80, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.