GCD of 686, 378, 705, 396 Calculator

Given Input numbers are 686, 378, 705, 396

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (686, 378, 705, 396) = 1.

Given numbers are 686, 378, 705, 396

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 686, 378, 705, 396

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

Apply this formula for all numbers.

Step1:

LCM(686, 378) = 18522

GCD(686, 378) = ( 686 x 378 ) / 18522

= 686 / 378

= 686

Step2:

LCM(14, 705) = 9870

GCD(14, 705) = ( 14 x 705 ) / 9870

= 14 / 705

= 14

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 686, 378, 705, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 627, 629, 705
• GCD of 169, 757, 313, 737
• GCD of 742, 330, 106, 236
• GCD of 604, 617, 298, 207
• GCD of 970, 971, 761, 168

Given numbers are 686, 378, 705, 396
The greatest common divisor of numbers 686, 378, 705, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 378, 705, 396 is 1.

1. What is the GCD of 686, 378, 705, 396?

GCD of given numbers 686, 378, 705, 396 is 1

2. How to calculate the greatest common divisor of 686, 378, 705, 396?

We can find the highest common divisor of 686, 378, 705, 396 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, 378, 705, 396 i.e 1.

3. How can I use the GCD of 686, 378, 705, 396Calculator?

Out the numbers 686, 378, 705, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.