GCD of 78, 320, 891, 188 Calculator

Given Input numbers are 78, 320, 891, 188

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 78, 320, 891, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 320, 891, 188 is 1.

Therefore, GCD of numbers 78, 320, 891, 188 is 1

Given Input Data is 78, 320, 891, 188

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 188 is 2 x 2 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(78, 320) = 12480

GCD(78, 320) = ( 78 x 320 ) / 12480

GCD(78, 320) = 24960 / 12480

GCD(78, 320) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 78, 320, 891, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 828, 516, 437
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• GCD of 26, 625, 594, 602
• GCD of 48, 231, 403, 278
• GCD of 92, 689, 929, 167

1. What is the GCD of 78, 320, 891, 188?

GCD of 78, 320, 891, 188 is 1

2. Where do I get the detailed procedure to find GCD of 78, 320, 891, 188?

You can find a detailed procedure to find GCD of 78, 320, 891, 188 on our page.

3. How to find GCD of 78, 320, 891, 188 on a calculator?

You can find the GCD of 78, 320, 891, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.