Online GCD Calculator is useful to find the GCD of 308, 540, 628, 284 quickly. Get the easiest ways to solve the greatest common divisor of 308, 540, 628, 284 i.e 4 in different methods as follows.
Given Input numbers are 308, 540, 628, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (308, 540, 628, 284) = 4.
Given numbers are 308, 540, 628, 284
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 628 are 2 x 2 x 157
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 22
Therefore, GCD of 308, 540, 628, 284 is 4.
Given numbers are 308, 540, 628, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 540) = 41580
GCD(308, 540) = ( 308 x 540 ) / 41580
= 308 / 540
= 308
Step2:
LCM(4, 628) = 628
GCD(4, 628) = ( 4 x 628 ) / 628
= 4 / 628
= 4
Step3:
LCM(4, 284) = 284
GCD(4, 284) = ( 4 x 284 ) / 284
= 4 / 284
= 4
So, Greatest Common Divisor of 308, 540, 628, 284 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 540, 628, 284
The greatest common divisor of numbers 308, 540, 628, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 540, 628, 284 is 4.
1. What is the GCD of 308, 540, 628, 284?
GCD of given numbers 308, 540, 628, 284 is 4
2. How to calculate the greatest common divisor of 308, 540, 628, 284?
We can find the highest common divisor of 308, 540, 628, 284 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 308, 540, 628, 284 i.e 4.
3. How can I use the GCD of 308, 540, 628, 284Calculator?
Out the numbers 308, 540, 628, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.