GCD of 680, 444, 214, 732 Calculator

Given Input numbers are 680, 444, 214, 732

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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

GCD of numbers is the greatest common divisor

So, the GCD (680, 444, 214, 732) = 2.

Given numbers are 680, 444, 214, 732

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 214 are 2 x 107

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

The highest common occurrence is 2¹

Therefore, GCD of 680, 444, 214, 732 is 2.

Given numbers are 680, 444, 214, 732

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

Apply this formula for all numbers.

Step1:

LCM(680, 444) = 75480

GCD(680, 444) = ( 680 x 444 ) / 75480

= 680 / 444

= 680

Step2:

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

= 4 / 214

= 4

Step3:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

So, Greatest Common Divisor of 680, 444, 214, 732 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 246, 215, 951
• GCD of 933, 733, 240, 456
• GCD of 539, 527, 942, 261
• GCD of 735, 553, 328, 973
• GCD of 636, 632, 273, 330

Given numbers are 680, 444, 214, 732
The greatest common divisor of numbers 680, 444, 214, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 444, 214, 732 is 2.

1. What is the GCD of 680, 444, 214, 732?

GCD of given numbers 680, 444, 214, 732 is 2

2. How to calculate the greatest common divisor of 680, 444, 214, 732?

We can find the highest common divisor of 680, 444, 214, 732 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 680, 444, 214, 732 i.e 2.

3. How can I use the GCD of 680, 444, 214, 732Calculator?

Out the numbers 680, 444, 214, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.