Online GCD Calculator is useful to find the GCD of 638, 742, 540, 728 quickly. Get the easiest ways to solve the greatest common divisor of 638, 742, 540, 728 i.e 2 in different methods as follows.
Given Input numbers are 638, 742, 540, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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 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
GCD of numbers is the greatest common divisor
So, the GCD (638, 742, 540, 728) = 2.
Given numbers are 638, 742, 540, 728
The list of prime factors of all numbers are
Prime factors of 638 are 2 x 11 x 29
Prime factors of 742 are 2 x 7 x 53
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 638, 742, 540, 728 is 2.
Given numbers are 638, 742, 540, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(638, 742) = 236698
GCD(638, 742) = ( 638 x 742 ) / 236698
= 638 / 742
= 638
Step2:
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
= 2 / 540
= 2
Step3:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
So, Greatest Common Divisor of 638, 742, 540, 728 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 638, 742, 540, 728
The greatest common divisor of numbers 638, 742, 540, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 742, 540, 728 is 2.
1. What is the GCD of 638, 742, 540, 728?
GCD of given numbers 638, 742, 540, 728 is 2
2. How to calculate the greatest common divisor of 638, 742, 540, 728?
We can find the highest common divisor of 638, 742, 540, 728 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 638, 742, 540, 728 i.e 2.
3. How can I use the GCD of 638, 742, 540, 728Calculator?
Out the numbers 638, 742, 540, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.