GCD of 798, 786, 360, 114 Calculator

Given Input numbers are 798, 786, 360, 114

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

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 798, 786, 360, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 786, 360, 114 is 6.

Therefore, GCD of numbers 798, 786, 360, 114 is 6

Given Input Data is 798, 786, 360, 114

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

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 114 is 2 x 3 x 19

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(798, 786) = 104538

GCD(798, 786) = ( 798 x 786 ) / 104538

GCD(798, 786) = 627228 / 104538

GCD(798, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 360

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

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

GCD(6, 360) = 2160 / 360

GCD(6, 360) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 114

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

LCM(6, 114) = 114

GCD(6, 114) = ( 6 x 114 ) / 114

GCD(6, 114) = 684 / 114

GCD(6, 114) = 6

GCD of 798, 786, 360, 114 is 6

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1. What is the GCD of 798, 786, 360, 114?

GCD of 798, 786, 360, 114 is 6

2. Where do I get the detailed procedure to find GCD of 798, 786, 360, 114?

You can find a detailed procedure to find GCD of 798, 786, 360, 114 on our page.

3. How to find GCD of 798, 786, 360, 114 on a calculator?

You can find the GCD of 798, 786, 360, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.