GCD of 143, 312, 798, 768 Calculator

Given Input numbers are 143, 312, 798, 768

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

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (143, 312, 798, 768) = 1.

Given numbers are 143, 312, 798, 768

The list of prime factors of all numbers are

Prime factors of 143 are 11 x 13

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 143, 312, 798, 768

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

Apply this formula for all numbers.

Step1:

LCM(143, 312) = 3432

GCD(143, 312) = ( 143 x 312 ) / 3432

= 143 / 312

= 143

Step2:

LCM(13, 798) = 10374

GCD(13, 798) = ( 13 x 798 ) / 10374

= 13 / 798

= 13

Step3:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1

So, Greatest Common Divisor of 143, 312, 798, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 159, 264, 544
• GCD of 946, 570, 181, 933
• GCD of 174, 576, 839, 772
• GCD of 751, 260, 108, 908
• GCD of 244, 889, 181, 106

Given numbers are 143, 312, 798, 768
The greatest common divisor of numbers 143, 312, 798, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 312, 798, 768 is 1.

1. What is the GCD of 143, 312, 798, 768?

GCD of given numbers 143, 312, 798, 768 is 1

2. How to calculate the greatest common divisor of 143, 312, 798, 768?

We can find the highest common divisor of 143, 312, 798, 768 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 143, 312, 798, 768 i.e 1.

3. How can I use the GCD of 143, 312, 798, 768Calculator?

Out the numbers 143, 312, 798, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.