Online GCD Calculator is useful to find the GCD of 552, 936, 513, 741 quickly. Get the easiest ways to solve the greatest common divisor of 552, 936, 513, 741 i.e 3 in different methods as follows.
Given Input numbers are 552, 936, 513, 741
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 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (552, 936, 513, 741) = 3.
Given numbers are 552, 936, 513, 741
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 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 741 are 3 x 13 x 19
The highest common occurrence is 31
Therefore, GCD of 552, 936, 513, 741 is 3.
Given numbers are 552, 936, 513, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 936) = 21528
GCD(552, 936) = ( 552 x 936 ) / 21528
= 552 / 936
= 552
Step2:
LCM(24, 513) = 4104
GCD(24, 513) = ( 24 x 513 ) / 4104
= 24 / 513
= 24
Step3:
LCM(3, 741) = 741
GCD(3, 741) = ( 3 x 741 ) / 741
= 3 / 741
= 3
So, Greatest Common Divisor of 552, 936, 513, 741 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 936, 513, 741
The greatest common divisor of numbers 552, 936, 513, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 936, 513, 741 is 3.
1. What is the GCD of 552, 936, 513, 741?
GCD of given numbers 552, 936, 513, 741 is 3
2. How to calculate the greatest common divisor of 552, 936, 513, 741?
We can find the highest common divisor of 552, 936, 513, 741 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, 936, 513, 741 i.e 3.
3. How can I use the GCD of 552, 936, 513, 741Calculator?
Out the numbers 552, 936, 513, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.