Online GCD Calculator is useful to find the GCD of 420, 949, 322, 856 quickly. Get the easiest ways to solve the greatest common divisor of 420, 949, 322, 856 i.e 1 in different methods as follows.
Given Input numbers are 420, 949, 322, 856
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 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
GCD of numbers is the greatest common divisor
So, the GCD (420, 949, 322, 856) = 1.
Given numbers are 420, 949, 322, 856
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 949 are 13 x 73
Prime factors of 322 are 2 x 7 x 23
Prime factors of 856 are 2 x 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 949, 322, 856
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 949) = 398580
GCD(420, 949) = ( 420 x 949 ) / 398580
= 420 / 949
= 420
Step2:
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
= 1 / 322
= 1
Step3:
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
= 1 / 856
= 1
So, Greatest Common Divisor of 420, 949, 322, 856 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 949, 322, 856
The greatest common divisor of numbers 420, 949, 322, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 949, 322, 856 is 1.
1. What is the GCD of 420, 949, 322, 856?
GCD of given numbers 420, 949, 322, 856 is 1
2. How to calculate the greatest common divisor of 420, 949, 322, 856?
We can find the highest common divisor of 420, 949, 322, 856 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, 949, 322, 856 i.e 1.
3. How can I use the GCD of 420, 949, 322, 856Calculator?
Out the numbers 420, 949, 322, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.