Online GCD Calculator is useful to find the GCD of 428, 144, 306, 746 quickly. Get the easiest ways to solve the greatest common divisor of 428, 144, 306, 746 i.e 2 in different methods as follows.
Given Input numbers are 428, 144, 306, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (428, 144, 306, 746) = 2.
Given numbers are 428, 144, 306, 746
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 428, 144, 306, 746 is 2.
Given numbers are 428, 144, 306, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 144) = 15408
GCD(428, 144) = ( 428 x 144 ) / 15408
= 428 / 144
= 428
Step2:
LCM(4, 306) = 612
GCD(4, 306) = ( 4 x 306 ) / 612
= 4 / 306
= 4
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 428, 144, 306, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 144, 306, 746
The greatest common divisor of numbers 428, 144, 306, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 144, 306, 746 is 2.
1. What is the GCD of 428, 144, 306, 746?
GCD of given numbers 428, 144, 306, 746 is 2
2. How to calculate the greatest common divisor of 428, 144, 306, 746?
We can find the highest common divisor of 428, 144, 306, 746 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 428, 144, 306, 746 i.e 2.
3. How can I use the GCD of 428, 144, 306, 746Calculator?
Out the numbers 428, 144, 306, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.