GCD of 769, 112, 343, 864 Calculator

Given Input numbers are 769, 112, 343, 864

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

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

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 (769, 112, 343, 864) = 1.

Given numbers are 769, 112, 343, 864

The list of prime factors of all numbers are

Prime factors of 769 are 769

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 343 are 7 x 7 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 769, 112, 343, 864

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

Apply this formula for all numbers.

Step1:

LCM(769, 112) = 86128

GCD(769, 112) = ( 769 x 112 ) / 86128

= 769 / 112

= 769

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 769, 112, 343, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 306, 155, 965
• GCD of 191, 489, 893, 817
• GCD of 696, 662, 858, 832
• GCD of 675, 986, 625, 118
• GCD of 794, 530, 451, 188

Given numbers are 769, 112, 343, 864
The greatest common divisor of numbers 769, 112, 343, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 769, 112, 343, 864 is 1.

1. What is the GCD of 769, 112, 343, 864?

GCD of given numbers 769, 112, 343, 864 is 1

2. How to calculate the greatest common divisor of 769, 112, 343, 864?

We can find the highest common divisor of 769, 112, 343, 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 769, 112, 343, 864 i.e 1.

3. How can I use the GCD of 769, 112, 343, 864Calculator?

Out the numbers 769, 112, 343, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.