GCD of 872, 550, 784, 878 Calculator

Given Input numbers are 872, 550, 784, 878

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (872, 550, 784, 878) = 2.

Given numbers are 872, 550, 784, 878

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 878 are 2 x 439

The highest common occurrence is 2¹

Therefore, GCD of 872, 550, 784, 878 is 2.

Given numbers are 872, 550, 784, 878

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

Apply this formula for all numbers.

Step1:

LCM(872, 550) = 239800

GCD(872, 550) = ( 872 x 550 ) / 239800

= 872 / 550

= 872

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

= 2 / 878

= 2

So, Greatest Common Divisor of 872, 550, 784, 878 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 512, 449, 510
• GCD of 539, 749, 820, 529
• GCD of 360, 592, 924, 641
• GCD of 299, 804, 138, 321
• GCD of 765, 117, 742, 331

Given numbers are 872, 550, 784, 878
The greatest common divisor of numbers 872, 550, 784, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 550, 784, 878 is 2.

1. What is the GCD of 872, 550, 784, 878?

GCD of given numbers 872, 550, 784, 878 is 2

2. How to calculate the greatest common divisor of 872, 550, 784, 878?

We can find the highest common divisor of 872, 550, 784, 878 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 872, 550, 784, 878 i.e 2.

3. How can I use the GCD of 872, 550, 784, 878Calculator?

Out the numbers 872, 550, 784, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.