GCD of 854, 936, 659, 678 Calculator

Given Input numbers are 854, 936, 659, 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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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, 936, 659, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 936, 659, 678 is 1.

Therefore, GCD of numbers 854, 936, 659, 678 is 1

Given Input Data is 854, 936, 659, 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 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 659 is 659

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, 936) = 399672

GCD(854, 936) = ( 854 x 936 ) / 399672

GCD(854, 936) = 799344 / 399672

GCD(854, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 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, 936, 659, 678 is 1

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1. What is the GCD of 854, 936, 659, 678?

GCD of 854, 936, 659, 678 is 1

2. Where do I get the detailed procedure to find GCD of 854, 936, 659, 678?

You can find a detailed procedure to find GCD of 854, 936, 659, 678 on our page.

3. How to find GCD of 854, 936, 659, 678 on a calculator?

You can find the GCD of 854, 936, 659, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.