GCD of 414, 310, 614, 720 Calculator

Given Input numbers are 414, 310, 614, 720

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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

GCD of numbers is the greatest common divisor

So, the GCD (414, 310, 614, 720) = 2.

Given numbers are 414, 310, 614, 720

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 310 are 2 x 5 x 31

Prime factors of 614 are 2 x 307

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

The highest common occurrence is 2¹

Therefore, GCD of 414, 310, 614, 720 is 2.

Given numbers are 414, 310, 614, 720

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

Apply this formula for all numbers.

Step1:

LCM(414, 310) = 64170

GCD(414, 310) = ( 414 x 310 ) / 64170

= 414 / 310

= 414

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

So, Greatest Common Divisor of 414, 310, 614, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 249, 771, 322
• GCD of 813, 917, 583, 387
• GCD of 389, 348, 778, 590
• GCD of 690, 369, 649, 483
• GCD of 101, 219, 314, 513

Given numbers are 414, 310, 614, 720
The greatest common divisor of numbers 414, 310, 614, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 310, 614, 720 is 2.

1. What is the GCD of 414, 310, 614, 720?

GCD of given numbers 414, 310, 614, 720 is 2

2. How to calculate the greatest common divisor of 414, 310, 614, 720?

We can find the highest common divisor of 414, 310, 614, 720 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 414, 310, 614, 720 i.e 2.

3. How can I use the GCD of 414, 310, 614, 720Calculator?

Out the numbers 414, 310, 614, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.