GCD of 999, 429, 493, 677 Calculator

Given Input numbers are 999, 429, 493, 677

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (999, 429, 493, 677) = 1.

Given numbers are 999, 429, 493, 677

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 429 are 3 x 11 x 13

Prime factors of 493 are 17 x 29

Prime factors of 677 are 677

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

Given numbers are 999, 429, 493, 677

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

Apply this formula for all numbers.

Step1:

LCM(999, 429) = 142857

GCD(999, 429) = ( 999 x 429 ) / 142857

= 999 / 429

= 999

Step2:

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

= 3 / 493

= 3

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 999, 429, 493, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 984, 203, 852
• GCD of 530, 367, 502, 226
• GCD of 628, 329, 856, 269
• GCD of 255, 495, 272, 826
• GCD of 193, 500, 238, 150

Given numbers are 999, 429, 493, 677
The greatest common divisor of numbers 999, 429, 493, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 429, 493, 677 is 1.

1. What is the GCD of 999, 429, 493, 677?

GCD of given numbers 999, 429, 493, 677 is 1

2. How to calculate the greatest common divisor of 999, 429, 493, 677?

We can find the highest common divisor of 999, 429, 493, 677 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 999, 429, 493, 677 i.e 1.

3. How can I use the GCD of 999, 429, 493, 677Calculator?

Out the numbers 999, 429, 493, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.