Online GCD Calculator is useful to find the GCD of 438, 448, 428, 119 quickly. Get the easiest ways to solve the greatest common divisor of 438, 448, 428, 119 i.e 1 in different methods as follows.
Given Input numbers are 438, 448, 428, 119
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
GCD of numbers is the greatest common divisor
So, the GCD (438, 448, 428, 119) = 1.
Given numbers are 438, 448, 428, 119
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 428 are 2 x 2 x 107
Prime factors of 119 are 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 438, 448, 428, 119
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 448) = 98112
GCD(438, 448) = ( 438 x 448 ) / 98112
= 438 / 448
= 438
Step2:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
Step3:
LCM(2, 119) = 238
GCD(2, 119) = ( 2 x 119 ) / 238
= 2 / 119
= 2
So, Greatest Common Divisor of 438, 448, 428, 119 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 448, 428, 119
The greatest common divisor of numbers 438, 448, 428, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 448, 428, 119 is 1.
1. What is the GCD of 438, 448, 428, 119?
GCD of given numbers 438, 448, 428, 119 is 1
2. How to calculate the greatest common divisor of 438, 448, 428, 119?
We can find the highest common divisor of 438, 448, 428, 119 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 438, 448, 428, 119 i.e 1.
3. How can I use the GCD of 438, 448, 428, 119Calculator?
Out the numbers 438, 448, 428, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.