Online GCD Calculator is useful to find the GCD of 564, 375, 504, 906 quickly. Get the easiest ways to solve the greatest common divisor of 564, 375, 504, 906 i.e 3 in different methods as follows.
Given Input numbers are 564, 375, 504, 906
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
GCD of numbers is the greatest common divisor
So, the GCD (564, 375, 504, 906) = 3.
Given numbers are 564, 375, 504, 906
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 906 are 2 x 3 x 151
The highest common occurrence is 31
Therefore, GCD of 564, 375, 504, 906 is 3.
Given numbers are 564, 375, 504, 906
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 375) = 70500
GCD(564, 375) = ( 564 x 375 ) / 70500
= 564 / 375
= 564
Step2:
LCM(3, 504) = 504
GCD(3, 504) = ( 3 x 504 ) / 504
= 3 / 504
= 3
Step3:
LCM(3, 906) = 906
GCD(3, 906) = ( 3 x 906 ) / 906
= 3 / 906
= 3
So, Greatest Common Divisor of 564, 375, 504, 906 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 375, 504, 906
The greatest common divisor of numbers 564, 375, 504, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 375, 504, 906 is 3.
1. What is the GCD of 564, 375, 504, 906?
GCD of given numbers 564, 375, 504, 906 is 3
2. How to calculate the greatest common divisor of 564, 375, 504, 906?
We can find the highest common divisor of 564, 375, 504, 906 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 564, 375, 504, 906 i.e 3.
3. How can I use the GCD of 564, 375, 504, 906Calculator?
Out the numbers 564, 375, 504, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.