GCD of 720, 906, 578, 442 Calculator

Given Input numbers are 720, 906, 578, 442

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 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (720, 906, 578, 442) = 2.

Given numbers are 720, 906, 578, 442

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 906 are 2 x 3 x 151

Prime factors of 578 are 2 x 17 x 17

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 720, 906, 578, 442 is 2.

Given numbers are 720, 906, 578, 442

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

Apply this formula for all numbers.

Step1:

LCM(720, 906) = 108720

GCD(720, 906) = ( 720 x 906 ) / 108720

= 720 / 906

= 720

Step2:

LCM(6, 578) = 1734

GCD(6, 578) = ( 6 x 578 ) / 1734

= 6 / 578

= 6

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 720, 906, 578, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 121, 614, 653
• GCD of 127, 418, 133, 370
• GCD of 465, 696, 260, 973
• GCD of 824, 525, 745, 225
• GCD of 398, 805, 874, 641

Given numbers are 720, 906, 578, 442
The greatest common divisor of numbers 720, 906, 578, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 906, 578, 442 is 2.

1. What is the GCD of 720, 906, 578, 442?

GCD of given numbers 720, 906, 578, 442 is 2

2. How to calculate the greatest common divisor of 720, 906, 578, 442?

We can find the highest common divisor of 720, 906, 578, 442 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, 906, 578, 442 i.e 2.

3. How can I use the GCD of 720, 906, 578, 442Calculator?

Out the numbers 720, 906, 578, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.