GCD of 142, 129, 960, 814 Calculator

Given Input numbers are 142, 129, 960, 814

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (142, 129, 960, 814) = 1.

Given numbers are 142, 129, 960, 814

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 129 are 3 x 43

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 142, 129, 960, 814

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

Apply this formula for all numbers.

Step1:

LCM(142, 129) = 18318

GCD(142, 129) = ( 142 x 129 ) / 18318

= 142 / 129

= 142

Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 142, 129, 960, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 672, 925, 995
• GCD of 574, 387, 853, 162
• GCD of 793, 855, 400, 154
• GCD of 816, 142, 801, 267
• GCD of 323, 315, 781, 350

Given numbers are 142, 129, 960, 814
The greatest common divisor of numbers 142, 129, 960, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 129, 960, 814 is 1.

1. What is the GCD of 142, 129, 960, 814?

GCD of given numbers 142, 129, 960, 814 is 1

2. How to calculate the greatest common divisor of 142, 129, 960, 814?

We can find the highest common divisor of 142, 129, 960, 814 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 142, 129, 960, 814 i.e 1.

3. How can I use the GCD of 142, 129, 960, 814Calculator?

Out the numbers 142, 129, 960, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.