GCD of 918, 192, 533, 971 Calculator

Given Input numbers are 918, 192, 533, 971

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 918, 192, 533, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 192, 533, 971 is 1.

Therefore, GCD of numbers 918, 192, 533, 971 is 1

Given Input Data is 918, 192, 533, 971

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 533 is 13 x 41

Prime Factorization of 971 is 971

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(918, 192) = 29376

GCD(918, 192) = ( 918 x 192 ) / 29376

GCD(918, 192) = 176256 / 29376

GCD(918, 192) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 533

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

LCM(6, 533) = 3198

GCD(6, 533) = ( 6 x 533 ) / 3198

GCD(6, 533) = 3198 / 3198

GCD(6, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 918, 192, 533, 971 is 1

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• GCD of 570, 690, 993, 400
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• GCD of 871, 506, 114, 895
• GCD of 304, 853, 611, 965

1. What is the GCD of 918, 192, 533, 971?

GCD of 918, 192, 533, 971 is 1

2. Where do I get the detailed procedure to find GCD of 918, 192, 533, 971?

You can find a detailed procedure to find GCD of 918, 192, 533, 971 on our page.

3. How to find GCD of 918, 192, 533, 971 on a calculator?

You can find the GCD of 918, 192, 533, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.