GCD of 891, 759, 285, 720 Calculator

Given Input numbers are 891, 759, 285, 720

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

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 (891, 759, 285, 720) = 3.

Given numbers are 891, 759, 285, 720

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 759 are 3 x 11 x 23

Prime factors of 285 are 3 x 5 x 19

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 891, 759, 285, 720 is 3.

Given numbers are 891, 759, 285, 720

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

Apply this formula for all numbers.

Step1:

LCM(891, 759) = 20493

GCD(891, 759) = ( 891 x 759 ) / 20493

= 891 / 759

= 891

Step2:

LCM(33, 285) = 3135

GCD(33, 285) = ( 33 x 285 ) / 3135

= 33 / 285

= 33

Step3:

LCM(3, 720) = 720

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

= 3 / 720

= 3

So, Greatest Common Divisor of 891, 759, 285, 720 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 404, 352, 162
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Given numbers are 891, 759, 285, 720
The greatest common divisor of numbers 891, 759, 285, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 759, 285, 720 is 3.

1. What is the GCD of 891, 759, 285, 720?

GCD of given numbers 891, 759, 285, 720 is 3

2. How to calculate the greatest common divisor of 891, 759, 285, 720?

We can find the highest common divisor of 891, 759, 285, 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 891, 759, 285, 720 i.e 3.

3. How can I use the GCD of 891, 759, 285, 720Calculator?

Out the numbers 891, 759, 285, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.