GCD of 783, 165, 222, 720 Calculator

Given Input numbers are 783, 165, 222, 720

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

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

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 (783, 165, 222, 720) = 3.

Given numbers are 783, 165, 222, 720

The list of prime factors of all numbers are

Prime factors of 783 are 3 x 3 x 3 x 29

Prime factors of 165 are 3 x 5 x 11

Prime factors of 222 are 2 x 3 x 37

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

The highest common occurrence is 3¹

Therefore, GCD of 783, 165, 222, 720 is 3.

Given numbers are 783, 165, 222, 720

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

Apply this formula for all numbers.

Step1:

LCM(783, 165) = 43065

GCD(783, 165) = ( 783 x 165 ) / 43065

= 783 / 165

= 783

Step2:

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

= 3 / 222

= 3

Step3:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

So, Greatest Common Divisor of 783, 165, 222, 720 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 121, 579, 913
• GCD of 878, 516, 344, 772
• GCD of 367, 198, 702, 799
• GCD of 747, 588, 315, 185
• GCD of 228, 358, 833, 661

Given numbers are 783, 165, 222, 720
The greatest common divisor of numbers 783, 165, 222, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 783, 165, 222, 720 is 3.

1. What is the GCD of 783, 165, 222, 720?

GCD of given numbers 783, 165, 222, 720 is 3

2. How to calculate the greatest common divisor of 783, 165, 222, 720?

We can find the highest common divisor of 783, 165, 222, 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 783, 165, 222, 720 i.e 3.

3. How can I use the GCD of 783, 165, 222, 720Calculator?

Out the numbers 783, 165, 222, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.