Online GCD Calculator is useful to find the GCD of 469, 420, 314, 339 quickly. Get the easiest ways to solve the greatest common divisor of 469, 420, 314, 339 i.e 1 in different methods as follows.
Given Input numbers are 469, 420, 314, 339
In the factoring method, we have to find the divisors of all numbers
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
GCD of numbers is the greatest common divisor
So, the GCD (469, 420, 314, 339) = 1.
Given numbers are 469, 420, 314, 339
The list of prime factors of all numbers are
Prime factors of 469 are 7 x 67
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 314 are 2 x 157
Prime factors of 339 are 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 469, 420, 314, 339
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(469, 420) = 28140
GCD(469, 420) = ( 469 x 420 ) / 28140
= 469 / 420
= 469
Step2:
LCM(7, 314) = 2198
GCD(7, 314) = ( 7 x 314 ) / 2198
= 7 / 314
= 7
Step3:
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
= 1 / 339
= 1
So, Greatest Common Divisor of 469, 420, 314, 339 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 469, 420, 314, 339
The greatest common divisor of numbers 469, 420, 314, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 420, 314, 339 is 1.
1. What is the GCD of 469, 420, 314, 339?
GCD of given numbers 469, 420, 314, 339 is 1
2. How to calculate the greatest common divisor of 469, 420, 314, 339?
We can find the highest common divisor of 469, 420, 314, 339 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 469, 420, 314, 339 i.e 1.
3. How can I use the GCD of 469, 420, 314, 339Calculator?
Out the numbers 469, 420, 314, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.