GCD of 777, 471, 684, 864 Calculator

Given Input numbers are 777, 471, 684, 864

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

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

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

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

GCD of numbers is the greatest common divisor

So, the GCD (777, 471, 684, 864) = 3.

Given numbers are 777, 471, 684, 864

The list of prime factors of all numbers are

Prime factors of 777 are 3 x 7 x 37

Prime factors of 471 are 3 x 157

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

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

The highest common occurrence is 3¹

Therefore, GCD of 777, 471, 684, 864 is 3.

Given numbers are 777, 471, 684, 864

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

Apply this formula for all numbers.

Step1:

LCM(777, 471) = 121989

GCD(777, 471) = ( 777 x 471 ) / 121989

= 777 / 471

= 777

Step2:

LCM(3, 684) = 684

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

= 3 / 684

= 3

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 777, 471, 684, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 322, 477, 349
• GCD of 850, 210, 464, 105
• GCD of 184, 369, 937, 126
• GCD of 895, 148, 323, 930
• GCD of 728, 981, 525, 864

Given numbers are 777, 471, 684, 864
The greatest common divisor of numbers 777, 471, 684, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 471, 684, 864 is 3.

1. What is the GCD of 777, 471, 684, 864?

GCD of given numbers 777, 471, 684, 864 is 3

2. How to calculate the greatest common divisor of 777, 471, 684, 864?

We can find the highest common divisor of 777, 471, 684, 864 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 777, 471, 684, 864 i.e 3.

3. How can I use the GCD of 777, 471, 684, 864Calculator?

Out the numbers 777, 471, 684, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.