Online GCD Calculator is useful to find the GCD of 148, 442, 48, 604 quickly. Get the easiest ways to solve the greatest common divisor of 148, 442, 48, 604 i.e 2 in different methods as follows.
Given Input numbers are 148, 442, 48, 604
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
GCD of numbers is the greatest common divisor
So, the GCD (148, 442, 48, 604) = 2.
Given numbers are 148, 442, 48, 604
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 442 are 2 x 13 x 17
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
Prime factors of 604 are 2 x 2 x 151
The highest common occurrence is 21
Therefore, GCD of 148, 442, 48, 604 is 2.
Given numbers are 148, 442, 48, 604
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 442) = 32708
GCD(148, 442) = ( 148 x 442 ) / 32708
= 148 / 442
= 148
Step2:
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
= 2 / 48
= 2
Step3:
LCM(2, 604) = 604
GCD(2, 604) = ( 2 x 604 ) / 604
= 2 / 604
= 2
So, Greatest Common Divisor of 148, 442, 48, 604 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 442, 48, 604
The greatest common divisor of numbers 148, 442, 48, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 442, 48, 604 is 2.
1. What is the GCD of 148, 442, 48, 604?
GCD of given numbers 148, 442, 48, 604 is 2
2. How to calculate the greatest common divisor of 148, 442, 48, 604?
We can find the highest common divisor of 148, 442, 48, 604 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 148, 442, 48, 604 i.e 2.
3. How can I use the GCD of 148, 442, 48, 604Calculator?
Out the numbers 148, 442, 48, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.