Online GCD Calculator is useful to find the GCD of 455, 420, 600 quickly. Get the easiest ways to solve the greatest common divisor of 455, 420, 600 i.e 5 in different methods as follows.
Given Input numbers are 455, 420, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (455, 420, 600) = 5.
Given numbers are 455, 420, 600
The list of prime factors of all numbers are
Prime factors of 455 are 5 x 7 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 455, 420, 600 is 5.
Given numbers are 455, 420, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(455, 420) = 5460
GCD(455, 420) = ( 455 x 420 ) / 5460
= 455 / 420
= 455
Step2:
LCM(35, 600) = 4200
GCD(35, 600) = ( 35 x 600 ) / 4200
= 35 / 600
= 35
So, Greatest Common Divisor of 455, 420, 600 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 455, 420, 600
The greatest common divisor of numbers 455, 420, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 455, 420, 600 is 5.
1. What is the GCD of 455, 420, 600?
GCD of given numbers 455, 420, 600 is 5
2. How to calculate the greatest common divisor of 455, 420, 600?
We can find the highest common divisor of 455, 420, 600 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 455, 420, 600 i.e 5.
3. How can I use the GCD of 455, 420, 600Calculator?
Out the numbers 455, 420, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.