Online GCD Calculator is useful to find the GCD of 420, 172, 200, 859 quickly. Get the easiest ways to solve the greatest common divisor of 420, 172, 200, 859 i.e 1 in different methods as follows.
Given Input numbers are 420, 172, 200, 859
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 859 :
The positive integer divisors of 859 that completely divides 859 are.
1, 859
GCD of numbers is the greatest common divisor
So, the GCD (420, 172, 200, 859) = 1.
Given numbers are 420, 172, 200, 859
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 172 are 2 x 2 x 43
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 859 are 859
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 172, 200, 859
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 172) = 18060
GCD(420, 172) = ( 420 x 172 ) / 18060
= 420 / 172
= 420
Step2:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
Step3:
LCM(4, 859) = 3436
GCD(4, 859) = ( 4 x 859 ) / 3436
= 4 / 859
= 4
So, Greatest Common Divisor of 420, 172, 200, 859 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 172, 200, 859
The greatest common divisor of numbers 420, 172, 200, 859 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 172, 200, 859 is 1.
1. What is the GCD of 420, 172, 200, 859?
GCD of given numbers 420, 172, 200, 859 is 1
2. How to calculate the greatest common divisor of 420, 172, 200, 859?
We can find the highest common divisor of 420, 172, 200, 859 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, 172, 200, 859 i.e 1.
3. How can I use the GCD of 420, 172, 200, 859Calculator?
Out the numbers 420, 172, 200, 859 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.