Online GCD Calculator is useful to find the GCD of 567, 189, 630 quickly. Get the easiest ways to solve the greatest common divisor of 567, 189, 630 i.e 63 in different methods as follows.
Given Input numbers are 567, 189, 630
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
GCD of numbers is the greatest common divisor
So, the GCD (567, 189, 630) = 63.
Given numbers are 567, 189, 630
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 189 are 3 x 3 x 3 x 7
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
The highest common occurrence is 32 x 71
Therefore, GCD of 567, 189, 630 is 63.
Given numbers are 567, 189, 630
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 189) = 567
GCD(567, 189) = ( 567 x 189 ) / 567
= 567 / 189
= 567
Step2:
LCM(189, 630) = 1890
GCD(189, 630) = ( 189 x 630 ) / 1890
= 189 / 630
= 189
So, Greatest Common Divisor of 567, 189, 630 is 63
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 189, 630
The greatest common divisor of numbers 567, 189, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 189, 630 is 63.
1. What is the GCD of 567, 189, 630?
GCD of given numbers 567, 189, 630 is 63
2. How to calculate the greatest common divisor of 567, 189, 630?
We can find the highest common divisor of 567, 189, 630 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, 189, 630 i.e 63.
3. How can I use the GCD of 567, 189, 630Calculator?
Out the numbers 567, 189, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.