GCD of 686, 322, 504 Calculator

Given Input numbers are 686, 322, 504

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (686, 322, 504) = 14.

Given numbers are 686, 322, 504

The list of prime factors of all numbers are

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

Prime factors of 322 are 2 x 7 x 23

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 686, 322, 504 is 14.

Given numbers are 686, 322, 504

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

Apply this formula for all numbers.

Step1:

LCM(686, 322) = 15778

GCD(686, 322) = ( 686 x 322 ) / 15778

= 686 / 322

= 686

Step2:

LCM(14, 504) = 504

GCD(14, 504) = ( 14 x 504 ) / 504

= 14 / 504

= 14

So, Greatest Common Divisor of 686, 322, 504 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 934, 663
• GCD of 578, 293, 289
• GCD of 354, 510, 411
• GCD of 402, 867, 935
• GCD of 239, 316, 895

Given numbers are 686, 322, 504
The greatest common divisor of numbers 686, 322, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 322, 504 is 14.

1. What is the GCD of 686, 322, 504?

GCD of given numbers 686, 322, 504 is 14

2. How to calculate the greatest common divisor of 686, 322, 504?

We can find the highest common divisor of 686, 322, 504 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, 322, 504 i.e 14.

3. How can I use the GCD of 686, 322, 504Calculator?

Out the numbers 686, 322, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.