GCD of 678, 850, 784, 992 Calculator

Given Input numbers are 678, 850, 784, 992

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 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (678, 850, 784, 992) = 2.

Given numbers are 678, 850, 784, 992

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 850 are 2 x 5 x 5 x 17

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 678, 850, 784, 992 is 2.

Given numbers are 678, 850, 784, 992

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

Apply this formula for all numbers.

Step1:

LCM(678, 850) = 288150

GCD(678, 850) = ( 678 x 850 ) / 288150

= 678 / 850

= 678

Step2:

LCM(2, 784) = 784

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

= 2 / 784

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 678, 850, 784, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 243, 542, 987
• GCD of 865, 781, 967, 599
• GCD of 653, 199, 327, 221
• GCD of 820, 633, 447, 123
• GCD of 869, 734, 105, 494

Given numbers are 678, 850, 784, 992
The greatest common divisor of numbers 678, 850, 784, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 850, 784, 992 is 2.

1. What is the GCD of 678, 850, 784, 992?

GCD of given numbers 678, 850, 784, 992 is 2

2. How to calculate the greatest common divisor of 678, 850, 784, 992?

We can find the highest common divisor of 678, 850, 784, 992 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, 850, 784, 992 i.e 2.

3. How can I use the GCD of 678, 850, 784, 992Calculator?

Out the numbers 678, 850, 784, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.