GCD of 648, 220, 46, 890 Calculator

Given Input numbers are 648, 220, 46, 890

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 46

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

1, 2, 23, 46

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 648, 220, 46, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 220, 46, 890 is 2.

Therefore, GCD of numbers 648, 220, 46, 890 is 2

Given Input Data is 648, 220, 46, 890

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 220 is 2 x 2 x 5 x 11

Prime Factorization of 46 is 2 x 23

Prime Factorization of 890 is 2 x 5 x 89

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, 220) = 35640

GCD(648, 220) = ( 648 x 220 ) / 35640

GCD(648, 220) = 142560 / 35640

GCD(648, 220) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 46

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

LCM(4, 46) = 92

GCD(4, 46) = ( 4 x 46 ) / 92

GCD(4, 46) = 184 / 92

GCD(4, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 648, 220, 46, 890 is 2

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1. What is the GCD of 648, 220, 46, 890?

GCD of 648, 220, 46, 890 is 2

2. Where do I get the detailed procedure to find GCD of 648, 220, 46, 890?

You can find a detailed procedure to find GCD of 648, 220, 46, 890 on our page.

3. How to find GCD of 648, 220, 46, 890 on a calculator?

You can find the GCD of 648, 220, 46, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.