GCD of 648, 660, 350, 986 Calculator

Given Input numbers are 648, 660, 350, 986

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 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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 648, 660, 350, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 660, 350, 986 is 2.

Therefore, GCD of numbers 648, 660, 350, 986 is 2

Given Input Data is 648, 660, 350, 986

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(648, 660) = 35640

GCD(648, 660) = ( 648 x 660 ) / 35640

GCD(648, 660) = 427680 / 35640

GCD(648, 660) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 350

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

LCM(12, 350) = 2100

GCD(12, 350) = ( 12 x 350 ) / 2100

GCD(12, 350) = 4200 / 2100

GCD(12, 350) = 2

Step3:

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 648, 660, 350, 986 is 2

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1. What is the GCD of 648, 660, 350, 986?

GCD of 648, 660, 350, 986 is 2

2. Where do I get the detailed procedure to find GCD of 648, 660, 350, 986?

You can find a detailed procedure to find GCD of 648, 660, 350, 986 on our page.

3. How to find GCD of 648, 660, 350, 986 on a calculator?

You can find the GCD of 648, 660, 350, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.