Online GCD Calculator is useful to find the GCD of 548, 414, 135, 391 quickly. Get the easiest ways to solve the greatest common divisor of 548, 414, 135, 391 i.e 1 in different methods as follows.
Given Input numbers are 548, 414, 135, 391
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 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
GCD of numbers is the greatest common divisor
So, the GCD (548, 414, 135, 391) = 1.
Given numbers are 548, 414, 135, 391
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 391 are 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 548, 414, 135, 391
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 414) = 113436
GCD(548, 414) = ( 548 x 414 ) / 113436
= 548 / 414
= 548
Step2:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
Step3:
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
= 1 / 391
= 1
So, Greatest Common Divisor of 548, 414, 135, 391 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 414, 135, 391
The greatest common divisor of numbers 548, 414, 135, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 414, 135, 391 is 1.
1. What is the GCD of 548, 414, 135, 391?
GCD of given numbers 548, 414, 135, 391 is 1
2. How to calculate the greatest common divisor of 548, 414, 135, 391?
We can find the highest common divisor of 548, 414, 135, 391 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, 414, 135, 391 i.e 1.
3. How can I use the GCD of 548, 414, 135, 391Calculator?
Out the numbers 548, 414, 135, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.