Online GCD Calculator is useful to find the GCD of 741, 273, 177, 864 quickly. Get the easiest ways to solve the greatest common divisor of 741, 273, 177, 864 i.e 3 in different methods as follows.
Given Input numbers are 741, 273, 177, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (741, 273, 177, 864) = 3.
Given numbers are 741, 273, 177, 864
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 273 are 3 x 7 x 13
Prime factors of 177 are 3 x 59
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 741, 273, 177, 864 is 3.
Given numbers are 741, 273, 177, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 273) = 5187
GCD(741, 273) = ( 741 x 273 ) / 5187
= 741 / 273
= 741
Step2:
LCM(39, 177) = 2301
GCD(39, 177) = ( 39 x 177 ) / 2301
= 39 / 177
= 39
Step3:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
So, Greatest Common Divisor of 741, 273, 177, 864 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 741, 273, 177, 864
The greatest common divisor of numbers 741, 273, 177, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 273, 177, 864 is 3.
1. What is the GCD of 741, 273, 177, 864?
GCD of given numbers 741, 273, 177, 864 is 3
2. How to calculate the greatest common divisor of 741, 273, 177, 864?
We can find the highest common divisor of 741, 273, 177, 864 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 741, 273, 177, 864 i.e 3.
3. How can I use the GCD of 741, 273, 177, 864Calculator?
Out the numbers 741, 273, 177, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.