GCD of 336, 378, 732, 686 Calculator

Given Input numbers are 336, 378, 732, 686

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 686 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (336, 378, 732, 686) = 2.

Given numbers are 336, 378, 732, 686

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

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

Prime factors of 732 are 2 x 2 x 3 x 61

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

The highest common occurrence is 2¹

Therefore, GCD of 336, 378, 732, 686 is 2.

Given numbers are 336, 378, 732, 686

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

Apply this formula for all numbers.

Step1:

LCM(336, 378) = 3024

GCD(336, 378) = ( 336 x 378 ) / 3024

= 336 / 378

= 336

Step2:

LCM(42, 732) = 5124

GCD(42, 732) = ( 42 x 732 ) / 5124

= 42 / 732

= 42

Step3:

LCM(6, 686) = 2058

GCD(6, 686) = ( 6 x 686 ) / 2058

= 6 / 686

= 6

So, Greatest Common Divisor of 336, 378, 732, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 308, 614, 656
• GCD of 658, 345, 573, 932
• GCD of 148, 740, 421, 909
• GCD of 526, 545, 910, 278
• GCD of 612, 513, 667, 584

Given numbers are 336, 378, 732, 686
The greatest common divisor of numbers 336, 378, 732, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 378, 732, 686 is 2.

1. What is the GCD of 336, 378, 732, 686?

GCD of given numbers 336, 378, 732, 686 is 2

2. How to calculate the greatest common divisor of 336, 378, 732, 686?

We can find the highest common divisor of 336, 378, 732, 686 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 336, 378, 732, 686 i.e 2.

3. How can I use the GCD of 336, 378, 732, 686Calculator?

Out the numbers 336, 378, 732, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.