GCD of 429, 345, 351, 428 Calculator

Given Input numbers are 429, 345, 351, 428

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (429, 345, 351, 428) = 1.

Given numbers are 429, 345, 351, 428

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 345 are 3 x 5 x 23

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 429, 345, 351, 428

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

Apply this formula for all numbers.

Step1:

LCM(429, 345) = 49335

GCD(429, 345) = ( 429 x 345 ) / 49335

= 429 / 345

= 429

Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

Step3:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3

So, Greatest Common Divisor of 429, 345, 351, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 176, 805, 780
• GCD of 275, 935, 693, 457
• GCD of 850, 602, 492, 535
• GCD of 529, 761, 243, 203
• GCD of 559, 258, 925, 565

Given numbers are 429, 345, 351, 428
The greatest common divisor of numbers 429, 345, 351, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 345, 351, 428 is 1.

1. What is the GCD of 429, 345, 351, 428?

GCD of given numbers 429, 345, 351, 428 is 1

2. How to calculate the greatest common divisor of 429, 345, 351, 428?

We can find the highest common divisor of 429, 345, 351, 428 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, 345, 351, 428 i.e 1.

3. How can I use the GCD of 429, 345, 351, 428Calculator?

Out the numbers 429, 345, 351, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.