GCD of 975, 272, 823, 275 Calculator

Given Input numbers are 975, 272, 823, 275

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 975, 272, 823, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 272, 823, 275 is 1.

Therefore, GCD of numbers 975, 272, 823, 275 is 1

Given Input Data is 975, 272, 823, 275

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 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 823 is 823

Prime Factorization of 275 is 5 x 5 x 11

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, 272) = 265200

GCD(975, 272) = ( 975 x 272 ) / 265200

GCD(975, 272) = 265200 / 265200

GCD(975, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 975, 272, 823, 275 is 1

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• GCD of 605, 253, 326, 109
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1. What is the GCD of 975, 272, 823, 275?

GCD of 975, 272, 823, 275 is 1

2. Where do I get the detailed procedure to find GCD of 975, 272, 823, 275?

You can find a detailed procedure to find GCD of 975, 272, 823, 275 on our page.

3. How to find GCD of 975, 272, 823, 275 on a calculator?

You can find the GCD of 975, 272, 823, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.