Online GCD Calculator is useful to find the GCD of 604, 628, 746, 148 quickly. Get the easiest ways to solve the greatest common divisor of 604, 628, 746, 148 i.e 2 in different methods as follows.
Given Input numbers are 604, 628, 746, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (604, 628, 746, 148) = 2.
Given numbers are 604, 628, 746, 148
The list of prime factors of all numbers are
Prime factors of 604 are 2 x 2 x 151
Prime factors of 628 are 2 x 2 x 157
Prime factors of 746 are 2 x 373
Prime factors of 148 are 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 604, 628, 746, 148 is 2.
Given numbers are 604, 628, 746, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(604, 628) = 94828
GCD(604, 628) = ( 604 x 628 ) / 94828
= 604 / 628
= 604
Step2:
LCM(4, 746) = 1492
GCD(4, 746) = ( 4 x 746 ) / 1492
= 4 / 746
= 4
Step3:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
So, Greatest Common Divisor of 604, 628, 746, 148 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 604, 628, 746, 148
The greatest common divisor of numbers 604, 628, 746, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 628, 746, 148 is 2.
1. What is the GCD of 604, 628, 746, 148?
GCD of given numbers 604, 628, 746, 148 is 2
2. How to calculate the greatest common divisor of 604, 628, 746, 148?
We can find the highest common divisor of 604, 628, 746, 148 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 604, 628, 746, 148 i.e 2.
3. How can I use the GCD of 604, 628, 746, 148Calculator?
Out the numbers 604, 628, 746, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.