GCD of 873, 864, 369, 771 Calculator

Given Input numbers are 873, 864, 369, 771

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (873, 864, 369, 771) = 3.

Given numbers are 873, 864, 369, 771

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 369 are 3 x 3 x 41

Prime factors of 771 are 3 x 257

The highest common occurrence is 3¹

Therefore, GCD of 873, 864, 369, 771 is 3.

Given numbers are 873, 864, 369, 771

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

Apply this formula for all numbers.

Step1:

LCM(873, 864) = 83808

GCD(873, 864) = ( 873 x 864 ) / 83808

= 873 / 864

= 873

Step2:

LCM(9, 369) = 369

GCD(9, 369) = ( 9 x 369 ) / 369

= 9 / 369

= 9

Step3:

LCM(9, 771) = 2313

GCD(9, 771) = ( 9 x 771 ) / 2313

= 9 / 771

= 9

So, Greatest Common Divisor of 873, 864, 369, 771 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 664, 513, 897
• GCD of 592, 180, 580, 820
• GCD of 718, 107, 822, 731
• GCD of 662, 526, 657, 102
• GCD of 734, 947, 401, 872

Given numbers are 873, 864, 369, 771
The greatest common divisor of numbers 873, 864, 369, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 864, 369, 771 is 3.

1. What is the GCD of 873, 864, 369, 771?

GCD of given numbers 873, 864, 369, 771 is 3

2. How to calculate the greatest common divisor of 873, 864, 369, 771?

We can find the highest common divisor of 873, 864, 369, 771 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 873, 864, 369, 771 i.e 3.

3. How can I use the GCD of 873, 864, 369, 771Calculator?

Out the numbers 873, 864, 369, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.