Online GCD Calculator is useful to find the GCD of 408, 118, 199, 280 quickly. Get the easiest ways to solve the greatest common divisor of 408, 118, 199, 280 i.e 1 in different methods as follows.
Given Input numbers are 408, 118, 199, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (408, 118, 199, 280) = 1.
Given numbers are 408, 118, 199, 280
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 118 are 2 x 59
Prime factors of 199 are 199
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 408, 118, 199, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 118) = 24072
GCD(408, 118) = ( 408 x 118 ) / 24072
= 408 / 118
= 408
Step2:
LCM(2, 199) = 398
GCD(2, 199) = ( 2 x 199 ) / 398
= 2 / 199
= 2
Step3:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
So, Greatest Common Divisor of 408, 118, 199, 280 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 118, 199, 280
The greatest common divisor of numbers 408, 118, 199, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 118, 199, 280 is 1.
1. What is the GCD of 408, 118, 199, 280?
GCD of given numbers 408, 118, 199, 280 is 1
2. How to calculate the greatest common divisor of 408, 118, 199, 280?
We can find the highest common divisor of 408, 118, 199, 280 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 408, 118, 199, 280 i.e 1.
3. How can I use the GCD of 408, 118, 199, 280Calculator?
Out the numbers 408, 118, 199, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.