Online GCD Calculator is useful to find the GCD of 814, 420, 170, 298 quickly. Get the easiest ways to solve the greatest common divisor of 814, 420, 170, 298 i.e 2 in different methods as follows.
Given Input numbers are 814, 420, 170, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
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 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (814, 420, 170, 298) = 2.
Given numbers are 814, 420, 170, 298
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 170 are 2 x 5 x 17
Prime factors of 298 are 2 x 149
The highest common occurrence is 21
Therefore, GCD of 814, 420, 170, 298 is 2.
Given numbers are 814, 420, 170, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 420) = 170940
GCD(814, 420) = ( 814 x 420 ) / 170940
= 814 / 420
= 814
Step2:
LCM(2, 170) = 170
GCD(2, 170) = ( 2 x 170 ) / 170
= 2 / 170
= 2
Step3:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
So, Greatest Common Divisor of 814, 420, 170, 298 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 420, 170, 298
The greatest common divisor of numbers 814, 420, 170, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 420, 170, 298 is 2.
1. What is the GCD of 814, 420, 170, 298?
GCD of given numbers 814, 420, 170, 298 is 2
2. How to calculate the greatest common divisor of 814, 420, 170, 298?
We can find the highest common divisor of 814, 420, 170, 298 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 814, 420, 170, 298 i.e 2.
3. How can I use the GCD of 814, 420, 170, 298Calculator?
Out the numbers 814, 420, 170, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.