GCD of 891, 807, 69, 180 Calculator

Given Input numbers are 891, 807, 69, 180

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 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (891, 807, 69, 180) = 3.

Given numbers are 891, 807, 69, 180

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 807 are 3 x 269

Prime factors of 69 are 3 x 23

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 891, 807, 69, 180 is 3.

Given numbers are 891, 807, 69, 180

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

Apply this formula for all numbers.

Step1:

LCM(891, 807) = 239679

GCD(891, 807) = ( 891 x 807 ) / 239679

= 891 / 807

= 891

Step2:

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

= 3 / 69

= 3

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 891, 807, 69, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 505, 21, 998
• GCD of 587, 447, 71, 575
• GCD of 221, 598, 37, 494
• GCD of 463, 945, 18, 708
• GCD of 192, 928, 28, 327

Given numbers are 891, 807, 69, 180
The greatest common divisor of numbers 891, 807, 69, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 807, 69, 180 is 3.

1. What is the GCD of 891, 807, 69, 180?

GCD of given numbers 891, 807, 69, 180 is 3

2. How to calculate the greatest common divisor of 891, 807, 69, 180?

We can find the highest common divisor of 891, 807, 69, 180 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, 807, 69, 180 i.e 3.

3. How can I use the GCD of 891, 807, 69, 180Calculator?

Out the numbers 891, 807, 69, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.