Online GCD Calculator is useful to find the GCD of 105, 448, 703, 558 quickly. Get the easiest ways to solve the greatest common divisor of 105, 448, 703, 558 i.e 1 in different methods as follows.
Given Input numbers are 105, 448, 703, 558
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
GCD of numbers is the greatest common divisor
So, the GCD (105, 448, 703, 558) = 1.
Given numbers are 105, 448, 703, 558
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 703 are 19 x 37
Prime factors of 558 are 2 x 3 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 448, 703, 558
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 448) = 6720
GCD(105, 448) = ( 105 x 448 ) / 6720
= 105 / 448
= 105
Step2:
LCM(7, 703) = 4921
GCD(7, 703) = ( 7 x 703 ) / 4921
= 7 / 703
= 7
Step3:
LCM(1, 558) = 558
GCD(1, 558) = ( 1 x 558 ) / 558
= 1 / 558
= 1
So, Greatest Common Divisor of 105, 448, 703, 558 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 448, 703, 558
The greatest common divisor of numbers 105, 448, 703, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 448, 703, 558 is 1.
1. What is the GCD of 105, 448, 703, 558?
GCD of given numbers 105, 448, 703, 558 is 1
2. How to calculate the greatest common divisor of 105, 448, 703, 558?
We can find the highest common divisor of 105, 448, 703, 558 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 105, 448, 703, 558 i.e 1.
3. How can I use the GCD of 105, 448, 703, 558Calculator?
Out the numbers 105, 448, 703, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.