GCD of 720, 408, 783, 684 Calculator

Given Input numbers are 720, 408, 783, 684

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 783 :

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

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (720, 408, 783, 684) = 3.

Given numbers are 720, 408, 783, 684

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 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 720, 408, 783, 684 is 3.

Given numbers are 720, 408, 783, 684

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

Apply this formula for all numbers.

Step1:

LCM(720, 408) = 12240

GCD(720, 408) = ( 720 x 408 ) / 12240

= 720 / 408

= 720

Step2:

LCM(24, 783) = 6264

GCD(24, 783) = ( 24 x 783 ) / 6264

= 24 / 783

= 24

Step3:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

So, Greatest Common Divisor of 720, 408, 783, 684 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 831, 619, 286
• GCD of 877, 640, 662, 276
• GCD of 466, 965, 579, 694
• GCD of 392, 964, 572, 265
• GCD of 789, 855, 248, 535

Given numbers are 720, 408, 783, 684
The greatest common divisor of numbers 720, 408, 783, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 408, 783, 684 is 3.

1. What is the GCD of 720, 408, 783, 684?

GCD of given numbers 720, 408, 783, 684 is 3

2. How to calculate the greatest common divisor of 720, 408, 783, 684?

We can find the highest common divisor of 720, 408, 783, 684 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, 408, 783, 684 i.e 3.

3. How can I use the GCD of 720, 408, 783, 684Calculator?

Out the numbers 720, 408, 783, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.