Online GCD Calculator is useful to find the GCD of 429, 435, 909, 399 quickly. Get the easiest ways to solve the greatest common divisor of 429, 435, 909, 399 i.e 3 in different methods as follows.
Given Input numbers are 429, 435, 909, 399
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 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
GCD of numbers is the greatest common divisor
So, the GCD (429, 435, 909, 399) = 3.
Given numbers are 429, 435, 909, 399
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 435 are 3 x 5 x 29
Prime factors of 909 are 3 x 3 x 101
Prime factors of 399 are 3 x 7 x 19
The highest common occurrence is 31
Therefore, GCD of 429, 435, 909, 399 is 3.
Given numbers are 429, 435, 909, 399
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 435) = 62205
GCD(429, 435) = ( 429 x 435 ) / 62205
= 429 / 435
= 429
Step2:
LCM(3, 909) = 909
GCD(3, 909) = ( 3 x 909 ) / 909
= 3 / 909
= 3
Step3:
LCM(3, 399) = 399
GCD(3, 399) = ( 3 x 399 ) / 399
= 3 / 399
= 3
So, Greatest Common Divisor of 429, 435, 909, 399 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 435, 909, 399
The greatest common divisor of numbers 429, 435, 909, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 435, 909, 399 is 3.
1. What is the GCD of 429, 435, 909, 399?
GCD of given numbers 429, 435, 909, 399 is 3
2. How to calculate the greatest common divisor of 429, 435, 909, 399?
We can find the highest common divisor of 429, 435, 909, 399 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, 435, 909, 399 i.e 3.
3. How can I use the GCD of 429, 435, 909, 399Calculator?
Out the numbers 429, 435, 909, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.