Online GCD Calculator is useful to find the GCD of 466, 980, 814, 309 quickly. Get the easiest ways to solve the greatest common divisor of 466, 980, 814, 309 i.e 1 in different methods as follows.
Given Input numbers are 466, 980, 814, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (466, 980, 814, 309) = 1.
Given numbers are 466, 980, 814, 309
The list of prime factors of all numbers are
Prime factors of 466 are 2 x 233
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 814 are 2 x 11 x 37
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 466, 980, 814, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(466, 980) = 228340
GCD(466, 980) = ( 466 x 980 ) / 228340
= 466 / 980
= 466
Step2:
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
= 2 / 814
= 2
Step3:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
So, Greatest Common Divisor of 466, 980, 814, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 466, 980, 814, 309
The greatest common divisor of numbers 466, 980, 814, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 980, 814, 309 is 1.
1. What is the GCD of 466, 980, 814, 309?
GCD of given numbers 466, 980, 814, 309 is 1
2. How to calculate the greatest common divisor of 466, 980, 814, 309?
We can find the highest common divisor of 466, 980, 814, 309 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 466, 980, 814, 309 i.e 1.
3. How can I use the GCD of 466, 980, 814, 309Calculator?
Out the numbers 466, 980, 814, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.