GCD of 892, 678, 76, 185 Calculator

Given Input numbers are 892, 678, 76, 185

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 892, 678, 76, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 678, 76, 185 is 1.

Therefore, GCD of numbers 892, 678, 76, 185 is 1

Given Input Data is 892, 678, 76, 185

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 185 is 5 x 37

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(892, 678) = 302388

GCD(892, 678) = ( 892 x 678 ) / 302388

GCD(892, 678) = 604776 / 302388

GCD(892, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 892, 678, 76, 185 is 1

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1. What is the GCD of 892, 678, 76, 185?

GCD of 892, 678, 76, 185 is 1

2. Where do I get the detailed procedure to find GCD of 892, 678, 76, 185?

You can find a detailed procedure to find GCD of 892, 678, 76, 185 on our page.

3. How to find GCD of 892, 678, 76, 185 on a calculator?

You can find the GCD of 892, 678, 76, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.