GCD of 856, 884, 436, 300 Calculator

Given Input numbers are 856, 884, 436, 300

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (856, 884, 436, 300) = 4.

Given numbers are 856, 884, 436, 300

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

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

Prime factors of 436 are 2 x 2 x 109

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 856, 884, 436, 300 is 4.

Given numbers are 856, 884, 436, 300

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

Apply this formula for all numbers.

Step1:

LCM(856, 884) = 189176

GCD(856, 884) = ( 856 x 884 ) / 189176

= 856 / 884

= 856

Step2:

LCM(4, 436) = 436

GCD(4, 436) = ( 4 x 436 ) / 436

= 4 / 436

= 4

Step3:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

So, Greatest Common Divisor of 856, 884, 436, 300 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 657, 747, 864
• GCD of 452, 129, 574, 476
• GCD of 628, 700, 788, 916
• GCD of 397, 426, 246, 850
• GCD of 211, 695, 501, 684

Given numbers are 856, 884, 436, 300
The greatest common divisor of numbers 856, 884, 436, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 884, 436, 300 is 4.

1. What is the GCD of 856, 884, 436, 300?

GCD of given numbers 856, 884, 436, 300 is 4

2. How to calculate the greatest common divisor of 856, 884, 436, 300?

We can find the highest common divisor of 856, 884, 436, 300 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 856, 884, 436, 300 i.e 4.

3. How can I use the GCD of 856, 884, 436, 300Calculator?

Out the numbers 856, 884, 436, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.