GCD of 918, 284, 686, 794 Calculator

Given Input numbers are 918, 284, 686, 794

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

GCD of numbers is the greatest common divisor

So, the GCD (918, 284, 686, 794) = 2.

Given numbers are 918, 284, 686, 794

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 284 are 2 x 2 x 71

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 794 are 2 x 397

The highest common occurrence is 2¹

Therefore, GCD of 918, 284, 686, 794 is 2.

Given numbers are 918, 284, 686, 794

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

Apply this formula for all numbers.

Step1:

LCM(918, 284) = 130356

GCD(918, 284) = ( 918 x 284 ) / 130356

= 918 / 284

= 918

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

So, Greatest Common Divisor of 918, 284, 686, 794 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 884, 305, 801
• GCD of 469, 806, 780, 903
• GCD of 368, 440, 942, 152
• GCD of 439, 551, 135, 667
• GCD of 716, 956, 475, 809

Given numbers are 918, 284, 686, 794
The greatest common divisor of numbers 918, 284, 686, 794 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 284, 686, 794 is 2.

1. What is the GCD of 918, 284, 686, 794?

GCD of given numbers 918, 284, 686, 794 is 2

2. How to calculate the greatest common divisor of 918, 284, 686, 794?

We can find the highest common divisor of 918, 284, 686, 794 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 918, 284, 686, 794 i.e 2.

3. How can I use the GCD of 918, 284, 686, 794Calculator?

Out the numbers 918, 284, 686, 794 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.