GCD of 945, 597, 82, 727 Calculator

Given Input numbers are 945, 597, 82, 727

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 945, 597, 82, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 597, 82, 727 is 1.

Therefore, GCD of numbers 945, 597, 82, 727 is 1

Given Input Data is 945, 597, 82, 727

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 597 is 3 x 199

Prime Factorization of 82 is 2 x 41

Prime Factorization of 727 is 727

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(945, 597) = 188055

GCD(945, 597) = ( 945 x 597 ) / 188055

GCD(945, 597) = 564165 / 188055

GCD(945, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 82

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

LCM(3, 82) = 246

GCD(3, 82) = ( 3 x 82 ) / 246

GCD(3, 82) = 246 / 246

GCD(3, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 945, 597, 82, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 234, 16, 440
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• GCD of 480, 554, 84, 745
• GCD of 455, 565, 48, 904
• GCD of 429, 949, 90, 823

1. What is the GCD of 945, 597, 82, 727?

GCD of 945, 597, 82, 727 is 1

2. Where do I get the detailed procedure to find GCD of 945, 597, 82, 727?

You can find a detailed procedure to find GCD of 945, 597, 82, 727 on our page.

3. How to find GCD of 945, 597, 82, 727 on a calculator?

You can find the GCD of 945, 597, 82, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.