Online GCD Calculator is useful to find the GCD of 552, 178, 744, 726 quickly. Get the easiest ways to solve the greatest common divisor of 552, 178, 744, 726 i.e 2 in different methods as follows.
Given Input numbers are 552, 178, 744, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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
GCD of numbers is the greatest common divisor
So, the GCD (552, 178, 744, 726) = 2.
Given numbers are 552, 178, 744, 726
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 178 are 2 x 89
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 552, 178, 744, 726 is 2.
Given numbers are 552, 178, 744, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 178) = 49128
GCD(552, 178) = ( 552 x 178 ) / 49128
= 552 / 178
= 552
Step2:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
Step3:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
So, Greatest Common Divisor of 552, 178, 744, 726 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 178, 744, 726
The greatest common divisor of numbers 552, 178, 744, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 178, 744, 726 is 2.
1. What is the GCD of 552, 178, 744, 726?
GCD of given numbers 552, 178, 744, 726 is 2
2. How to calculate the greatest common divisor of 552, 178, 744, 726?
We can find the highest common divisor of 552, 178, 744, 726 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 552, 178, 744, 726 i.e 2.
3. How can I use the GCD of 552, 178, 744, 726Calculator?
Out the numbers 552, 178, 744, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.