Online GCD Calculator is useful to find the GCD of 210, 205, 420 quickly. Get the easiest ways to solve the greatest common divisor of 210, 205, 420 i.e 5 in different methods as follows.
Given Input numbers are 210, 205, 420
In the factoring method, we have to find the divisors of all numbers
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 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
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
GCD of numbers is the greatest common divisor
So, the GCD (210, 205, 420) = 5.
Given numbers are 210, 205, 420
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 205 are 5 x 41
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 210, 205, 420 is 5.
Given numbers are 210, 205, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 205) = 8610
GCD(210, 205) = ( 210 x 205 ) / 8610
= 210 / 205
= 210
Step2:
LCM(5, 420) = 420
GCD(5, 420) = ( 5 x 420 ) / 420
= 5 / 420
= 5
So, Greatest Common Divisor of 210, 205, 420 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 205, 420
The greatest common divisor of numbers 210, 205, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 205, 420 is 5.
1. What is the GCD of 210, 205, 420?
GCD of given numbers 210, 205, 420 is 5
2. How to calculate the greatest common divisor of 210, 205, 420?
We can find the highest common divisor of 210, 205, 420 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 210, 205, 420 i.e 5.
3. How can I use the GCD of 210, 205, 420Calculator?
Out the numbers 210, 205, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.