Online GCD Calculator is useful to find the GCD of 899, 500, 145, 420 quickly. Get the easiest ways to solve the greatest common divisor of 899, 500, 145, 420 i.e 1 in different methods as follows.
Given Input numbers are 899, 500, 145, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 899 :
The positive integer divisors of 899 that completely divides 899 are.
1, 29, 31, 899
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
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 (899, 500, 145, 420) = 1.
Given numbers are 899, 500, 145, 420
The list of prime factors of all numbers are
Prime factors of 899 are 29 x 31
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 145 are 5 x 29
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 899, 500, 145, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(899, 500) = 449500
GCD(899, 500) = ( 899 x 500 ) / 449500
= 899 / 500
= 899
Step2:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 899, 500, 145, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 899, 500, 145, 420
The greatest common divisor of numbers 899, 500, 145, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 899, 500, 145, 420 is 1.
1. What is the GCD of 899, 500, 145, 420?
GCD of given numbers 899, 500, 145, 420 is 1
2. How to calculate the greatest common divisor of 899, 500, 145, 420?
We can find the highest common divisor of 899, 500, 145, 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 899, 500, 145, 420 i.e 1.
3. How can I use the GCD of 899, 500, 145, 420Calculator?
Out the numbers 899, 500, 145, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.