GCD of 735, 423, 777, 864 Calculator

Given Input numbers are 735, 423, 777, 864

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 777 :

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

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

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 (735, 423, 777, 864) = 3.

Given numbers are 735, 423, 777, 864

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 423 are 3 x 3 x 47

Prime factors of 777 are 3 x 7 x 37

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 735, 423, 777, 864 is 3.

Given numbers are 735, 423, 777, 864

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

Apply this formula for all numbers.

Step1:

LCM(735, 423) = 103635

GCD(735, 423) = ( 735 x 423 ) / 103635

= 735 / 423

= 735

Step2:

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

= 3 / 777

= 3

Step3:

LCM(3, 864) = 864

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

= 3 / 864

= 3

So, Greatest Common Divisor of 735, 423, 777, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 291, 674, 536
• GCD of 720, 690, 954, 457
• GCD of 593, 148, 902, 165
• GCD of 781, 490, 194, 883
• GCD of 235, 975, 719, 897

Given numbers are 735, 423, 777, 864
The greatest common divisor of numbers 735, 423, 777, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 423, 777, 864 is 3.

1. What is the GCD of 735, 423, 777, 864?

GCD of given numbers 735, 423, 777, 864 is 3

2. How to calculate the greatest common divisor of 735, 423, 777, 864?

We can find the highest common divisor of 735, 423, 777, 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 735, 423, 777, 864 i.e 3.

3. How can I use the GCD of 735, 423, 777, 864Calculator?

Out the numbers 735, 423, 777, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.