GCD of 678, 884, 400, 871 Calculator

Given Input numbers are 678, 884, 400, 871

In the factoring method, we have to find the divisors of all numbers

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

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

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (678, 884, 400, 871) = 1.

Given numbers are 678, 884, 400, 871

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 871 are 13 x 67

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

Given numbers are 678, 884, 400, 871

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(678, 884) = 299676

GCD(678, 884) = ( 678 x 884 ) / 299676

= 678 / 884

= 678

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

= 2 / 871

= 2

So, Greatest Common Divisor of 678, 884, 400, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 180, 342, 100
• GCD of 891, 892, 958, 640
• GCD of 175, 815, 858, 722
• GCD of 429, 725, 930, 197
• GCD of 918, 305, 812, 919

Given numbers are 678, 884, 400, 871
The greatest common divisor of numbers 678, 884, 400, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 884, 400, 871 is 1.

1. What is the GCD of 678, 884, 400, 871?

GCD of given numbers 678, 884, 400, 871 is 1

2. How to calculate the greatest common divisor of 678, 884, 400, 871?

We can find the highest common divisor of 678, 884, 400, 871 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 678, 884, 400, 871 i.e 1.

3. How can I use the GCD of 678, 884, 400, 871Calculator?

Out the numbers 678, 884, 400, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.