GCD of 720, 990, 314, 214 Calculator

Given Input numbers are 720, 990, 314, 214

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (720, 990, 314, 214) = 2.

Given numbers are 720, 990, 314, 214

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 314 are 2 x 157

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 720, 990, 314, 214 is 2.

Given numbers are 720, 990, 314, 214

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

Apply this formula for all numbers.

Step1:

LCM(720, 990) = 7920

GCD(720, 990) = ( 720 x 990 ) / 7920

= 720 / 990

= 720

Step2:

LCM(90, 314) = 14130

GCD(90, 314) = ( 90 x 314 ) / 14130

= 90 / 314

= 90

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 720, 990, 314, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 436, 548, 380
• GCD of 147, 258, 528, 162
• GCD of 627, 294, 296, 469
• GCD of 753, 665, 825, 235
• GCD of 517, 496, 196, 562

Given numbers are 720, 990, 314, 214
The greatest common divisor of numbers 720, 990, 314, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 990, 314, 214 is 2.

1. What is the GCD of 720, 990, 314, 214?

GCD of given numbers 720, 990, 314, 214 is 2

2. How to calculate the greatest common divisor of 720, 990, 314, 214?

We can find the highest common divisor of 720, 990, 314, 214 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 720, 990, 314, 214 i.e 2.

3. How can I use the GCD of 720, 990, 314, 214Calculator?

Out the numbers 720, 990, 314, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.