GCD of 686, 916, 790, 774 Calculator

Given Input numbers are 686, 916, 790, 774

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

Divisors of 686 :

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

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

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (686, 916, 790, 774) = 2.

Given numbers are 686, 916, 790, 774

The list of prime factors of all numbers are

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

Prime factors of 916 are 2 x 2 x 229

Prime factors of 790 are 2 x 5 x 79

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 686, 916, 790, 774 is 2.

Given numbers are 686, 916, 790, 774

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

Apply this formula for all numbers.

Step1:

LCM(686, 916) = 314188

GCD(686, 916) = ( 686 x 916 ) / 314188

= 686 / 916

= 686

Step2:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

Step3:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

So, Greatest Common Divisor of 686, 916, 790, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 622, 318, 728
• GCD of 162, 628, 941, 981
• GCD of 206, 792, 628, 535
• GCD of 348, 270, 331, 421
• GCD of 690, 390, 445, 123

Given numbers are 686, 916, 790, 774
The greatest common divisor of numbers 686, 916, 790, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 916, 790, 774 is 2.

1. What is the GCD of 686, 916, 790, 774?

GCD of given numbers 686, 916, 790, 774 is 2

2. How to calculate the greatest common divisor of 686, 916, 790, 774?

We can find the highest common divisor of 686, 916, 790, 774 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 686, 916, 790, 774 i.e 2.

3. How can I use the GCD of 686, 916, 790, 774Calculator?

Out the numbers 686, 916, 790, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.