Online GCD Calculator is useful to find the GCD of 117, 480, 466, 548 quickly. Get the easiest ways to solve the greatest common divisor of 117, 480, 466, 548 i.e 1 in different methods as follows.
Given Input numbers are 117, 480, 466, 548
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (117, 480, 466, 548) = 1.
Given numbers are 117, 480, 466, 548
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 466 are 2 x 233
Prime factors of 548 are 2 x 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 480, 466, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 480) = 18720
GCD(117, 480) = ( 117 x 480 ) / 18720
= 117 / 480
= 117
Step2:
LCM(3, 466) = 1398
GCD(3, 466) = ( 3 x 466 ) / 1398
= 3 / 466
= 3
Step3:
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
= 1 / 548
= 1
So, Greatest Common Divisor of 117, 480, 466, 548 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 480, 466, 548
The greatest common divisor of numbers 117, 480, 466, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 480, 466, 548 is 1.
1. What is the GCD of 117, 480, 466, 548?
GCD of given numbers 117, 480, 466, 548 is 1
2. How to calculate the greatest common divisor of 117, 480, 466, 548?
We can find the highest common divisor of 117, 480, 466, 548 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 117, 480, 466, 548 i.e 1.
3. How can I use the GCD of 117, 480, 466, 548Calculator?
Out the numbers 117, 480, 466, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.