Online GCD Calculator is useful to find the GCD of 548, 411, 299, 309 quickly. Get the easiest ways to solve the greatest common divisor of 548, 411, 299, 309 i.e 1 in different methods as follows.
Given Input numbers are 548, 411, 299, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 411 :
The positive integer divisors of 411 that completely divides 411 are.
1, 3, 137, 411
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
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 (548, 411, 299, 309) = 1.
Given numbers are 548, 411, 299, 309
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 411 are 3 x 137
Prime factors of 299 are 13 x 23
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 548, 411, 299, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 411) = 1644
GCD(548, 411) = ( 548 x 411 ) / 1644
= 548 / 411
= 548
Step2:
LCM(137, 299) = 40963
GCD(137, 299) = ( 137 x 299 ) / 40963
= 137 / 299
= 137
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 548, 411, 299, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 411, 299, 309
The greatest common divisor of numbers 548, 411, 299, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 411, 299, 309 is 1.
1. What is the GCD of 548, 411, 299, 309?
GCD of given numbers 548, 411, 299, 309 is 1
2. How to calculate the greatest common divisor of 548, 411, 299, 309?
We can find the highest common divisor of 548, 411, 299, 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 548, 411, 299, 309 i.e 1.
3. How can I use the GCD of 548, 411, 299, 309Calculator?
Out the numbers 548, 411, 299, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.