GCD of 946, 882, 514 Calculator

Given Input numbers are 946, 882, 514

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 946, 882, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 882, 514 is 2.

Therefore, GCD of numbers 946, 882, 514 is 2

Given Input Data is 946, 882, 514

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

Prime Factorization of 946 is 2 x 11 x 43

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

Prime Factorization of 514 is 2 x 257

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(946, 882) = 417186

GCD(946, 882) = ( 946 x 882 ) / 417186

GCD(946, 882) = 834372 / 417186

GCD(946, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

GCD of 946, 882, 514 is 2

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1. What is the GCD of 946, 882, 514?

GCD of 946, 882, 514 is 2

2. Where do I get the detailed procedure to find GCD of 946, 882, 514?

You can find a detailed procedure to find GCD of 946, 882, 514 on our page.

3. How to find GCD of 946, 882, 514 on a calculator?

You can find the GCD of 946, 882, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.