Online GCD Calculator is useful to find the GCD of 421, 420, 860, 458 quickly. Get the easiest ways to solve the greatest common divisor of 421, 420, 860, 458 i.e 1 in different methods as follows.
Given Input numbers are 421, 420, 860, 458
In the factoring method, we have to find the divisors of all numbers
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
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 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
GCD of numbers is the greatest common divisor
So, the GCD (421, 420, 860, 458) = 1.
Given numbers are 421, 420, 860, 458
The list of prime factors of all numbers are
Prime factors of 421 are 421
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 860 are 2 x 2 x 5 x 43
Prime factors of 458 are 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 421, 420, 860, 458
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(421, 420) = 176820
GCD(421, 420) = ( 421 x 420 ) / 176820
= 421 / 420
= 421
Step2:
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
= 1 / 860
= 1
Step3:
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
= 1 / 458
= 1
So, Greatest Common Divisor of 421, 420, 860, 458 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 421, 420, 860, 458
The greatest common divisor of numbers 421, 420, 860, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 420, 860, 458 is 1.
1. What is the GCD of 421, 420, 860, 458?
GCD of given numbers 421, 420, 860, 458 is 1
2. How to calculate the greatest common divisor of 421, 420, 860, 458?
We can find the highest common divisor of 421, 420, 860, 458 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 421, 420, 860, 458 i.e 1.
3. How can I use the GCD of 421, 420, 860, 458Calculator?
Out the numbers 421, 420, 860, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.