GCD of 844, 400, 868, 916 Calculator

Given Input numbers are 844, 400, 868, 916

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (844, 400, 868, 916) = 4.

Given numbers are 844, 400, 868, 916

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

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

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2²

Therefore, GCD of 844, 400, 868, 916 is 4.

Given numbers are 844, 400, 868, 916

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

Apply this formula for all numbers.

Step1:

LCM(844, 400) = 84400

GCD(844, 400) = ( 844 x 400 ) / 84400

= 844 / 400

= 844

Step2:

LCM(4, 868) = 868

GCD(4, 868) = ( 4 x 868 ) / 868

= 4 / 868

= 4

Step3:

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

= 4 / 916

= 4

So, Greatest Common Divisor of 844, 400, 868, 916 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 814, 857, 436
• GCD of 407, 737, 207, 182
• GCD of 279, 504, 591, 330
• GCD of 488, 579, 779, 834
• GCD of 433, 565, 585, 746

Given numbers are 844, 400, 868, 916
The greatest common divisor of numbers 844, 400, 868, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 400, 868, 916 is 4.

1. What is the GCD of 844, 400, 868, 916?

GCD of given numbers 844, 400, 868, 916 is 4

2. How to calculate the greatest common divisor of 844, 400, 868, 916?

We can find the highest common divisor of 844, 400, 868, 916 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 844, 400, 868, 916 i.e 4.

3. How can I use the GCD of 844, 400, 868, 916Calculator?

Out the numbers 844, 400, 868, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.