GCD of 513, 882, 954, 706 Calculator

Given Input numbers are 513, 882, 954, 706

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 513, 882, 954, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 882, 954, 706 is 1.

Therefore, GCD of numbers 513, 882, 954, 706 is 1

Given Input Data is 513, 882, 954, 706

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 706 is 2 x 353

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(513, 882) = 50274

GCD(513, 882) = ( 513 x 882 ) / 50274

GCD(513, 882) = 452466 / 50274

GCD(513, 882) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 954

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

LCM(9, 954) = 954

GCD(9, 954) = ( 9 x 954 ) / 954

GCD(9, 954) = 8586 / 954

GCD(9, 954) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 706

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

LCM(9, 706) = 6354

GCD(9, 706) = ( 9 x 706 ) / 6354

GCD(9, 706) = 6354 / 6354

GCD(9, 706) = 1

GCD of 513, 882, 954, 706 is 1

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1. What is the GCD of 513, 882, 954, 706?

GCD of 513, 882, 954, 706 is 1

2. Where do I get the detailed procedure to find GCD of 513, 882, 954, 706?

You can find a detailed procedure to find GCD of 513, 882, 954, 706 on our page.

3. How to find GCD of 513, 882, 954, 706 on a calculator?

You can find the GCD of 513, 882, 954, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.