Online GCD Calculator is useful to find the GCD of 627, 600, 648, 726 quickly. Get the easiest ways to solve the greatest common divisor of 627, 600, 648, 726 i.e 3 in different methods as follows.
Given Input numbers are 627, 600, 648, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 (627, 600, 648, 726) = 3.
Given numbers are 627, 600, 648, 726
The list of prime factors of all numbers are
Prime factors of 627 are 3 x 11 x 19
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 627, 600, 648, 726 is 3.
Given numbers are 627, 600, 648, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(627, 600) = 125400
GCD(627, 600) = ( 627 x 600 ) / 125400
= 627 / 600
= 627
Step2:
LCM(3, 648) = 648
GCD(3, 648) = ( 3 x 648 ) / 648
= 3 / 648
= 3
Step3:
LCM(3, 726) = 726
GCD(3, 726) = ( 3 x 726 ) / 726
= 3 / 726
= 3
So, Greatest Common Divisor of 627, 600, 648, 726 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 627, 600, 648, 726
The greatest common divisor of numbers 627, 600, 648, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 600, 648, 726 is 3.
1. What is the GCD of 627, 600, 648, 726?
GCD of given numbers 627, 600, 648, 726 is 3
2. How to calculate the greatest common divisor of 627, 600, 648, 726?
We can find the highest common divisor of 627, 600, 648, 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 627, 600, 648, 726 i.e 3.
3. How can I use the GCD of 627, 600, 648, 726Calculator?
Out the numbers 627, 600, 648, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.