GCD of 610, 648, 986 Calculator

Given Input numbers are 610, 648, 986

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 610, 648, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 648, 986 is 2.

Therefore, GCD of numbers 610, 648, 986 is 2

Given Input Data is 610, 648, 986

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

Prime Factorization of 610 is 2 x 5 x 61

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

Prime Factorization of 986 is 2 x 17 x 29

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(610, 648) = 197640

GCD(610, 648) = ( 610 x 648 ) / 197640

GCD(610, 648) = 395280 / 197640

GCD(610, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 610, 648, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 543, 519
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1. What is the GCD of 610, 648, 986?

GCD of 610, 648, 986 is 2

2. Where do I get the detailed procedure to find GCD of 610, 648, 986?

You can find a detailed procedure to find GCD of 610, 648, 986 on our page.

3. How to find GCD of 610, 648, 986 on a calculator?

You can find the GCD of 610, 648, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.