Online GCD Calculator is useful to find the GCD of 726, 128, 542, 472 quickly. Get the easiest ways to solve the greatest common divisor of 726, 128, 542, 472 i.e 2 in different methods as follows.
Given Input numbers are 726, 128, 542, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (726, 128, 542, 472) = 2.
Given numbers are 726, 128, 542, 472
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 542 are 2 x 271
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 726, 128, 542, 472 is 2.
Given numbers are 726, 128, 542, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 128) = 46464
GCD(726, 128) = ( 726 x 128 ) / 46464
= 726 / 128
= 726
Step2:
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
= 2 / 542
= 2
Step3:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 726, 128, 542, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 128, 542, 472
The greatest common divisor of numbers 726, 128, 542, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 128, 542, 472 is 2.
1. What is the GCD of 726, 128, 542, 472?
GCD of given numbers 726, 128, 542, 472 is 2
2. How to calculate the greatest common divisor of 726, 128, 542, 472?
We can find the highest common divisor of 726, 128, 542, 472 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 726, 128, 542, 472 i.e 2.
3. How can I use the GCD of 726, 128, 542, 472Calculator?
Out the numbers 726, 128, 542, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.