GCD of 429, 345, 201, 513 Calculator

Given Input numbers are 429, 345, 201, 513

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (429, 345, 201, 513) = 3.

Given numbers are 429, 345, 201, 513

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 201 are 3 x 67

Prime factors of 513 are 3 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 429, 345, 201, 513 is 3.

Given numbers are 429, 345, 201, 513

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, 201) = 201

GCD(3, 201) = ( 3 x 201 ) / 201

= 3 / 201

= 3

Step3:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3

So, Greatest Common Divisor of 429, 345, 201, 513 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 490, 107, 276
• GCD of 121, 447, 125, 634
• GCD of 897, 205, 152, 711
• GCD of 904, 210, 668, 735
• GCD of 581, 526, 752, 775

Given numbers are 429, 345, 201, 513
The greatest common divisor of numbers 429, 345, 201, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 345, 201, 513 is 3.

1. What is the GCD of 429, 345, 201, 513?

GCD of given numbers 429, 345, 201, 513 is 3

2. How to calculate the greatest common divisor of 429, 345, 201, 513?

We can find the highest common divisor of 429, 345, 201, 513 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, 201, 513 i.e 3.

3. How can I use the GCD of 429, 345, 201, 513Calculator?

Out the numbers 429, 345, 201, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.