Online GCD Calculator is useful to find the GCD of 291, 147, 537, 864 quickly. Get the easiest ways to solve the greatest common divisor of 291, 147, 537, 864 i.e 3 in different methods as follows.
Given Input numbers are 291, 147, 537, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
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 (291, 147, 537, 864) = 3.
Given numbers are 291, 147, 537, 864
The list of prime factors of all numbers are
Prime factors of 291 are 3 x 97
Prime factors of 147 are 3 x 7 x 7
Prime factors of 537 are 3 x 179
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 291, 147, 537, 864 is 3.
Given numbers are 291, 147, 537, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(291, 147) = 14259
GCD(291, 147) = ( 291 x 147 ) / 14259
= 291 / 147
= 291
Step2:
LCM(3, 537) = 537
GCD(3, 537) = ( 3 x 537 ) / 537
= 3 / 537
= 3
Step3:
LCM(3, 864) = 864
GCD(3, 864) = ( 3 x 864 ) / 864
= 3 / 864
= 3
So, Greatest Common Divisor of 291, 147, 537, 864 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 291, 147, 537, 864
The greatest common divisor of numbers 291, 147, 537, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 147, 537, 864 is 3.
1. What is the GCD of 291, 147, 537, 864?
GCD of given numbers 291, 147, 537, 864 is 3
2. How to calculate the greatest common divisor of 291, 147, 537, 864?
We can find the highest common divisor of 291, 147, 537, 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 291, 147, 537, 864 i.e 3.
3. How can I use the GCD of 291, 147, 537, 864Calculator?
Out the numbers 291, 147, 537, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.