Online GCD Calculator is useful to find the GCD of 429, 483, 792, 438 quickly. Get the easiest ways to solve the greatest common divisor of 429, 483, 792, 438 i.e 3 in different methods as follows.
Given Input numbers are 429, 483, 792, 438
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 483 :
The positive integer divisors of 483 that completely divides 483 are.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (429, 483, 792, 438) = 3.
Given numbers are 429, 483, 792, 438
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 483 are 3 x 7 x 23
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 429, 483, 792, 438 is 3.
Given numbers are 429, 483, 792, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 483) = 69069
GCD(429, 483) = ( 429 x 483 ) / 69069
= 429 / 483
= 429
Step2:
LCM(3, 792) = 792
GCD(3, 792) = ( 3 x 792 ) / 792
= 3 / 792
= 3
Step3:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
So, Greatest Common Divisor of 429, 483, 792, 438 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 483, 792, 438
The greatest common divisor of numbers 429, 483, 792, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 483, 792, 438 is 3.
1. What is the GCD of 429, 483, 792, 438?
GCD of given numbers 429, 483, 792, 438 is 3
2. How to calculate the greatest common divisor of 429, 483, 792, 438?
We can find the highest common divisor of 429, 483, 792, 438 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, 483, 792, 438 i.e 3.
3. How can I use the GCD of 429, 483, 792, 438Calculator?
Out the numbers 429, 483, 792, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.