Online GCD Calculator is useful to find the GCD of 728, 532, 640, 612 quickly. Get the easiest ways to solve the greatest common divisor of 728, 532, 640, 612 i.e 4 in different methods as follows.
Given Input numbers are 728, 532, 640, 612
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 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (728, 532, 640, 612) = 4.
Given numbers are 728, 532, 640, 612
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 532 are 2 x 2 x 7 x 19
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 22
Therefore, GCD of 728, 532, 640, 612 is 4.
Given numbers are 728, 532, 640, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 532) = 13832
GCD(728, 532) = ( 728 x 532 ) / 13832
= 728 / 532
= 728
Step2:
LCM(28, 640) = 4480
GCD(28, 640) = ( 28 x 640 ) / 4480
= 28 / 640
= 28
Step3:
LCM(4, 612) = 612
GCD(4, 612) = ( 4 x 612 ) / 612
= 4 / 612
= 4
So, Greatest Common Divisor of 728, 532, 640, 612 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 532, 640, 612
The greatest common divisor of numbers 728, 532, 640, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 532, 640, 612 is 4.
1. What is the GCD of 728, 532, 640, 612?
GCD of given numbers 728, 532, 640, 612 is 4
2. How to calculate the greatest common divisor of 728, 532, 640, 612?
We can find the highest common divisor of 728, 532, 640, 612 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, 532, 640, 612 i.e 4.
3. How can I use the GCD of 728, 532, 640, 612Calculator?
Out the numbers 728, 532, 640, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.