GCD of 429, 834, 123, 321 Calculator

Given Input numbers are 429, 834, 123, 321

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

Divisors of 429 :

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

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (429, 834, 123, 321) = 3.

Given numbers are 429, 834, 123, 321

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 834 are 2 x 3 x 139

Prime factors of 123 are 3 x 41

Prime factors of 321 are 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 429, 834, 123, 321 is 3.

Given numbers are 429, 834, 123, 321

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

Apply this formula for all numbers.

Step1:

LCM(429, 834) = 119262

GCD(429, 834) = ( 429 x 834 ) / 119262

= 429 / 834

= 429

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

Step3:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

So, Greatest Common Divisor of 429, 834, 123, 321 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 594, 866, 998
• GCD of 706, 504, 442, 579
• GCD of 677, 753, 309, 950
• GCD of 983, 679, 964, 259
• GCD of 548, 724, 102, 870

Given numbers are 429, 834, 123, 321
The greatest common divisor of numbers 429, 834, 123, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 834, 123, 321 is 3.

1. What is the GCD of 429, 834, 123, 321?

GCD of given numbers 429, 834, 123, 321 is 3

2. How to calculate the greatest common divisor of 429, 834, 123, 321?

We can find the highest common divisor of 429, 834, 123, 321 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 429, 834, 123, 321 i.e 3.

3. How can I use the GCD of 429, 834, 123, 321Calculator?

Out the numbers 429, 834, 123, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.