GCD of 975, 315, 861, 128 Calculator

Given Input numbers are 975, 315, 861, 128

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

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 975, 315, 861, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 315, 861, 128 is 1.

Therefore, GCD of numbers 975, 315, 861, 128 is 1

Given Input Data is 975, 315, 861, 128

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

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(975, 315) = 20475

GCD(975, 315) = ( 975 x 315 ) / 20475

GCD(975, 315) = 307125 / 20475

GCD(975, 315) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 861

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

LCM(15, 861) = 4305

GCD(15, 861) = ( 15 x 861 ) / 4305

GCD(15, 861) = 12915 / 4305

GCD(15, 861) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 128

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

LCM(3, 128) = 384

GCD(3, 128) = ( 3 x 128 ) / 384

GCD(3, 128) = 384 / 384

GCD(3, 128) = 1

GCD of 975, 315, 861, 128 is 1

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1. What is the GCD of 975, 315, 861, 128?

GCD of 975, 315, 861, 128 is 1

2. Where do I get the detailed procedure to find GCD of 975, 315, 861, 128?

You can find a detailed procedure to find GCD of 975, 315, 861, 128 on our page.

3. How to find GCD of 975, 315, 861, 128 on a calculator?

You can find the GCD of 975, 315, 861, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.