Online GCD Calculator is useful to find the GCD of 728, 674, 624, 386 quickly. Get the easiest ways to solve the greatest common divisor of 728, 674, 624, 386 i.e 2 in different methods as follows.
Given Input numbers are 728, 674, 624, 386
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
GCD of numbers is the greatest common divisor
So, the GCD (728, 674, 624, 386) = 2.
Given numbers are 728, 674, 624, 386
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 674 are 2 x 337
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 386 are 2 x 193
The highest common occurrence is 21
Therefore, GCD of 728, 674, 624, 386 is 2.
Given numbers are 728, 674, 624, 386
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 674) = 245336
GCD(728, 674) = ( 728 x 674 ) / 245336
= 728 / 674
= 728
Step2:
LCM(2, 624) = 624
GCD(2, 624) = ( 2 x 624 ) / 624
= 2 / 624
= 2
Step3:
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
= 2 / 386
= 2
So, Greatest Common Divisor of 728, 674, 624, 386 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 674, 624, 386
The greatest common divisor of numbers 728, 674, 624, 386 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 674, 624, 386 is 2.
1. What is the GCD of 728, 674, 624, 386?
GCD of given numbers 728, 674, 624, 386 is 2
2. How to calculate the greatest common divisor of 728, 674, 624, 386?
We can find the highest common divisor of 728, 674, 624, 386 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 728, 674, 624, 386 i.e 2.
3. How can I use the GCD of 728, 674, 624, 386Calculator?
Out the numbers 728, 674, 624, 386 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.