GCD of 554, 798, 82, 660 Calculator

Given Input numbers are 554, 798, 82, 660

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 82

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

1, 2, 41, 82

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 554, 798, 82, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 798, 82, 660 is 2.

Therefore, GCD of numbers 554, 798, 82, 660 is 2

Given Input Data is 554, 798, 82, 660

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 82 is 2 x 41

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(554, 798) = 221046

GCD(554, 798) = ( 554 x 798 ) / 221046

GCD(554, 798) = 442092 / 221046

GCD(554, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 554, 798, 82, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 661, 61, 145
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• GCD of 884, 660, 50, 216
• GCD of 911, 373, 59, 333
• GCD of 518, 499, 48, 237

1. What is the GCD of 554, 798, 82, 660?

GCD of 554, 798, 82, 660 is 2

2. Where do I get the detailed procedure to find GCD of 554, 798, 82, 660?

You can find a detailed procedure to find GCD of 554, 798, 82, 660 on our page.

3. How to find GCD of 554, 798, 82, 660 on a calculator?

You can find the GCD of 554, 798, 82, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.