GCD of 688, 336, 46, 360 Calculator

Given Input numbers are 688, 336, 46, 360

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (688, 336, 46, 360) = 2.

Given numbers are 688, 336, 46, 360

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Prime factors of 46 are 2 x 23

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 688, 336, 46, 360 is 2.

Given numbers are 688, 336, 46, 360

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

Apply this formula for all numbers.

Step1:

LCM(688, 336) = 14448

GCD(688, 336) = ( 688 x 336 ) / 14448

= 688 / 336

= 688

Step2:

LCM(16, 46) = 368

GCD(16, 46) = ( 16 x 46 ) / 368

= 16 / 46

= 16

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 688, 336, 46, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 581, 79, 312
• GCD of 926, 623, 57, 245
• GCD of 343, 671, 14, 492
• GCD of 382, 453, 81, 116
• GCD of 432, 456, 30, 539

Given numbers are 688, 336, 46, 360
The greatest common divisor of numbers 688, 336, 46, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 336, 46, 360 is 2.

1. What is the GCD of 688, 336, 46, 360?

GCD of given numbers 688, 336, 46, 360 is 2

2. How to calculate the greatest common divisor of 688, 336, 46, 360?

We can find the highest common divisor of 688, 336, 46, 360 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 688, 336, 46, 360 i.e 2.

3. How can I use the GCD of 688, 336, 46, 360Calculator?

Out the numbers 688, 336, 46, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.