GCD of 854, 923, 577, 678 Calculator

Given Input numbers are 854, 923, 577, 678

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 854, 923, 577, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 923, 577, 678 is 1.

Therefore, GCD of numbers 854, 923, 577, 678 is 1

Given Input Data is 854, 923, 577, 678

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 923 is 13 x 71

Prime Factorization of 577 is 577

Prime Factorization of 678 is 2 x 3 x 113

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(854, 923) = 788242

GCD(854, 923) = ( 854 x 923 ) / 788242

GCD(854, 923) = 788242 / 788242

GCD(854, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 854, 923, 577, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 153, 406, 932
• GCD of 361, 249, 851, 661
• GCD of 645, 280, 285, 180
• GCD of 268, 960, 135, 414
• GCD of 660, 769, 900, 113

1. What is the GCD of 854, 923, 577, 678?

GCD of 854, 923, 577, 678 is 1

2. Where do I get the detailed procedure to find GCD of 854, 923, 577, 678?

You can find a detailed procedure to find GCD of 854, 923, 577, 678 on our page.

3. How to find GCD of 854, 923, 577, 678 on a calculator?

You can find the GCD of 854, 923, 577, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.