GCD of 129, 393, 553, 312 Calculator

Given Input numbers are 129, 393, 553, 312

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

Divisors of 129 :

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

1, 3, 43, 129

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

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

GCD of numbers is the greatest common divisor

So, the GCD (129, 393, 553, 312) = 1.

Given numbers are 129, 393, 553, 312

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 393 are 3 x 131

Prime factors of 553 are 7 x 79

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

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

Given numbers are 129, 393, 553, 312

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

Apply this formula for all numbers.

Step1:

LCM(129, 393) = 16899

GCD(129, 393) = ( 129 x 393 ) / 16899

= 129 / 393

= 129

Step2:

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

= 3 / 553

= 3

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 129, 393, 553, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 300, 478, 201
• GCD of 853, 918, 981, 891
• GCD of 587, 778, 787, 960
• GCD of 330, 719, 946, 950
• GCD of 720, 244, 725, 999

Given numbers are 129, 393, 553, 312
The greatest common divisor of numbers 129, 393, 553, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 393, 553, 312 is 1.

1. What is the GCD of 129, 393, 553, 312?

GCD of given numbers 129, 393, 553, 312 is 1

2. How to calculate the greatest common divisor of 129, 393, 553, 312?

We can find the highest common divisor of 129, 393, 553, 312 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 129, 393, 553, 312 i.e 1.

3. How can I use the GCD of 129, 393, 553, 312Calculator?

Out the numbers 129, 393, 553, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.