Online GCD Calculator is useful to find the GCD of 639, 429, 198, 390 quickly. Get the easiest ways to solve the greatest common divisor of 639, 429, 198, 390 i.e 3 in different methods as follows.
Given Input numbers are 639, 429, 198, 390
In the factoring method, we have to find the divisors of all numbers
Divisors of 639 :
The positive integer divisors of 639 that completely divides 639 are.
1, 3, 9, 71, 213, 639
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (639, 429, 198, 390) = 3.
Given numbers are 639, 429, 198, 390
The list of prime factors of all numbers are
Prime factors of 639 are 3 x 3 x 71
Prime factors of 429 are 3 x 11 x 13
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 639, 429, 198, 390 is 3.
Given numbers are 639, 429, 198, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(639, 429) = 91377
GCD(639, 429) = ( 639 x 429 ) / 91377
= 639 / 429
= 639
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
= 3 / 390
= 3
So, Greatest Common Divisor of 639, 429, 198, 390 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 639, 429, 198, 390
The greatest common divisor of numbers 639, 429, 198, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 639, 429, 198, 390 is 3.
1. What is the GCD of 639, 429, 198, 390?
GCD of given numbers 639, 429, 198, 390 is 3
2. How to calculate the greatest common divisor of 639, 429, 198, 390?
We can find the highest common divisor of 639, 429, 198, 390 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 639, 429, 198, 390 i.e 3.
3. How can I use the GCD of 639, 429, 198, 390Calculator?
Out the numbers 639, 429, 198, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.