GCD of 648, 946, 46, 882 Calculator

Given Input numbers are 648, 946, 46, 882

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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

Greatest Common Divisior

We found the divisors of 648, 946, 46, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 946, 46, 882 is 2.

Therefore, GCD of numbers 648, 946, 46, 882 is 2

Given Input Data is 648, 946, 46, 882

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 46 is 2 x 23

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

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(648, 946) = 306504

GCD(648, 946) = ( 648 x 946 ) / 306504

GCD(648, 946) = 613008 / 306504

GCD(648, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 648, 946, 46, 882 is 2

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1. What is the GCD of 648, 946, 46, 882?

GCD of 648, 946, 46, 882 is 2

2. Where do I get the detailed procedure to find GCD of 648, 946, 46, 882?

You can find a detailed procedure to find GCD of 648, 946, 46, 882 on our page.

3. How to find GCD of 648, 946, 46, 882 on a calculator?

You can find the GCD of 648, 946, 46, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.