Online GCD Calculator is useful to find the GCD of 420, 429, 189, 350 quickly. Get the easiest ways to solve the greatest common divisor of 420, 429, 189, 350 i.e 1 in different methods as follows.
Given Input numbers are 420, 429, 189, 350
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (420, 429, 189, 350) = 1.
Given numbers are 420, 429, 189, 350
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 429 are 3 x 11 x 13
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 350 are 2 x 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 429, 189, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 429) = 60060
GCD(420, 429) = ( 420 x 429 ) / 60060
= 420 / 429
= 420
Step2:
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
= 3 / 189
= 3
Step3:
LCM(3, 350) = 1050
GCD(3, 350) = ( 3 x 350 ) / 1050
= 3 / 350
= 3
So, Greatest Common Divisor of 420, 429, 189, 350 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 429, 189, 350
The greatest common divisor of numbers 420, 429, 189, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 429, 189, 350 is 1.
1. What is the GCD of 420, 429, 189, 350?
GCD of given numbers 420, 429, 189, 350 is 1
2. How to calculate the greatest common divisor of 420, 429, 189, 350?
We can find the highest common divisor of 420, 429, 189, 350 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 420, 429, 189, 350 i.e 1.
3. How can I use the GCD of 420, 429, 189, 350Calculator?
Out the numbers 420, 429, 189, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.