GCD of 678, 894, 220, 114 Calculator

Given Input numbers are 678, 894, 220, 114

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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 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 678, 894, 220, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 894, 220, 114 is 2.

Therefore, GCD of numbers 678, 894, 220, 114 is 2

Given Input Data is 678, 894, 220, 114

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 114 is 2 x 3 x 19

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(678, 894) = 101022

GCD(678, 894) = ( 678 x 894 ) / 101022

GCD(678, 894) = 606132 / 101022

GCD(678, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 220

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

LCM(6, 220) = 660

GCD(6, 220) = ( 6 x 220 ) / 660

GCD(6, 220) = 1320 / 660

GCD(6, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 678, 894, 220, 114 is 2

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1. What is the GCD of 678, 894, 220, 114?

GCD of 678, 894, 220, 114 is 2

2. Where do I get the detailed procedure to find GCD of 678, 894, 220, 114?

You can find a detailed procedure to find GCD of 678, 894, 220, 114 on our page.

3. How to find GCD of 678, 894, 220, 114 on a calculator?

You can find the GCD of 678, 894, 220, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.