GCD of 720, 744, 218, 822 Calculator

Given Input numbers are 720, 744, 218, 822

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (720, 744, 218, 822) = 2.

Given numbers are 720, 744, 218, 822

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 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 218 are 2 x 109

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 720, 744, 218, 822 is 2.

Given numbers are 720, 744, 218, 822

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

Apply this formula for all numbers.

Step1:

LCM(720, 744) = 22320

GCD(720, 744) = ( 720 x 744 ) / 22320

= 720 / 744

= 720

Step2:

LCM(24, 218) = 2616

GCD(24, 218) = ( 24 x 218 ) / 2616

= 24 / 218

= 24

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 720, 744, 218, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 607, 446, 690
• GCD of 847, 235, 623, 219
• GCD of 703, 451, 322, 632
• GCD of 562, 823, 525, 920
• GCD of 834, 636, 250, 236

Given numbers are 720, 744, 218, 822
The greatest common divisor of numbers 720, 744, 218, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 744, 218, 822 is 2.

1. What is the GCD of 720, 744, 218, 822?

GCD of given numbers 720, 744, 218, 822 is 2

2. How to calculate the greatest common divisor of 720, 744, 218, 822?

We can find the highest common divisor of 720, 744, 218, 822 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, 744, 218, 822 i.e 2.

3. How can I use the GCD of 720, 744, 218, 822Calculator?

Out the numbers 720, 744, 218, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.