Online GCD Calculator is useful to find the GCD of 567, 288, 49 quickly. Get the easiest ways to solve the greatest common divisor of 567, 288, 49 i.e 1 in different methods as follows.
Given Input numbers are 567, 288, 49
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
GCD of numbers is the greatest common divisor
So, the GCD (567, 288, 49) = 1.
Given numbers are 567, 288, 49
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 49 are 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 288, 49
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 288) = 18144
GCD(567, 288) = ( 567 x 288 ) / 18144
= 567 / 288
= 567
Step2:
LCM(9, 49) = 441
GCD(9, 49) = ( 9 x 49 ) / 441
= 9 / 49
= 9
So, Greatest Common Divisor of 567, 288, 49 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 288, 49
The greatest common divisor of numbers 567, 288, 49 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 288, 49 is 1.
1. What is the GCD of 567, 288, 49?
GCD of given numbers 567, 288, 49 is 1
2. How to calculate the greatest common divisor of 567, 288, 49?
We can find the highest common divisor of 567, 288, 49 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 567, 288, 49 i.e 1.
3. How can I use the GCD of 567, 288, 49Calculator?
Out the numbers 567, 288, 49 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.