GCD of 720, 642, 550, 306 Calculator

Given Input numbers are 720, 642, 550, 306

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (720, 642, 550, 306) = 2.

Given numbers are 720, 642, 550, 306

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 642 are 2 x 3 x 107

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 720, 642, 550, 306 is 2.

Given numbers are 720, 642, 550, 306

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

Apply this formula for all numbers.

Step1:

LCM(720, 642) = 77040

GCD(720, 642) = ( 720 x 642 ) / 77040

= 720 / 642

= 720

Step2:

LCM(6, 550) = 1650

GCD(6, 550) = ( 6 x 550 ) / 1650

= 6 / 550

= 6

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 720, 642, 550, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 848, 779, 488
• GCD of 467, 504, 176, 714
• GCD of 169, 571, 884, 874
• GCD of 197, 745, 574, 737
• GCD of 600, 256, 145, 623

Given numbers are 720, 642, 550, 306
The greatest common divisor of numbers 720, 642, 550, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 642, 550, 306 is 2.

1. What is the GCD of 720, 642, 550, 306?

GCD of given numbers 720, 642, 550, 306 is 2

2. How to calculate the greatest common divisor of 720, 642, 550, 306?

We can find the highest common divisor of 720, 642, 550, 306 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, 642, 550, 306 i.e 2.

3. How can I use the GCD of 720, 642, 550, 306Calculator?

Out the numbers 720, 642, 550, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.