Online GCD Calculator is useful to find the GCD of 603, 747, 939, 564 quickly. Get the easiest ways to solve the greatest common divisor of 603, 747, 939, 564 i.e 3 in different methods as follows.
Given Input numbers are 603, 747, 939, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 603 :
The positive integer divisors of 603 that completely divides 603 are.
1, 3, 9, 67, 201, 603
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (603, 747, 939, 564) = 3.
Given numbers are 603, 747, 939, 564
The list of prime factors of all numbers are
Prime factors of 603 are 3 x 3 x 67
Prime factors of 747 are 3 x 3 x 83
Prime factors of 939 are 3 x 313
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 603, 747, 939, 564 is 3.
Given numbers are 603, 747, 939, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(603, 747) = 50049
GCD(603, 747) = ( 603 x 747 ) / 50049
= 603 / 747
= 603
Step2:
LCM(9, 939) = 2817
GCD(9, 939) = ( 9 x 939 ) / 2817
= 9 / 939
= 9
Step3:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 603, 747, 939, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 603, 747, 939, 564
The greatest common divisor of numbers 603, 747, 939, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 603, 747, 939, 564 is 3.
1. What is the GCD of 603, 747, 939, 564?
GCD of given numbers 603, 747, 939, 564 is 3
2. How to calculate the greatest common divisor of 603, 747, 939, 564?
We can find the highest common divisor of 603, 747, 939, 564 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 603, 747, 939, 564 i.e 3.
3. How can I use the GCD of 603, 747, 939, 564Calculator?
Out the numbers 603, 747, 939, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.