GCD of 429, 210, 198, 891 Calculator

Given Input numbers are 429, 210, 198, 891

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (429, 210, 198, 891) = 3.

Given numbers are 429, 210, 198, 891

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 429, 210, 198, 891 is 3.

Given numbers are 429, 210, 198, 891

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

Apply this formula for all numbers.

Step1:

LCM(429, 210) = 30030

GCD(429, 210) = ( 429 x 210 ) / 30030

= 429 / 210

= 429

Step2:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

Step3:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 429, 210, 198, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 203, 405, 622
• GCD of 409, 310, 411, 663
• GCD of 190, 649, 504, 110
• GCD of 257, 190, 296, 717
• GCD of 677, 717, 895, 126

Given numbers are 429, 210, 198, 891
The greatest common divisor of numbers 429, 210, 198, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 210, 198, 891 is 3.

1. What is the GCD of 429, 210, 198, 891?

GCD of given numbers 429, 210, 198, 891 is 3

2. How to calculate the greatest common divisor of 429, 210, 198, 891?

We can find the highest common divisor of 429, 210, 198, 891 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, 210, 198, 891 i.e 3.

3. How can I use the GCD of 429, 210, 198, 891Calculator?

Out the numbers 429, 210, 198, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.