Online GCD Calculator is useful to find the GCD of 375, 567, 564, 621 quickly. Get the easiest ways to solve the greatest common divisor of 375, 567, 564, 621 i.e 3 in different methods as follows.
Given Input numbers are 375, 567, 564, 621
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
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 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 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
GCD of numbers is the greatest common divisor
So, the GCD (375, 567, 564, 621) = 3.
Given numbers are 375, 567, 564, 621
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 621 are 3 x 3 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 375, 567, 564, 621 is 3.
Given numbers are 375, 567, 564, 621
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 567) = 70875
GCD(375, 567) = ( 375 x 567 ) / 70875
= 375 / 567
= 375
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
Step3:
LCM(3, 621) = 621
GCD(3, 621) = ( 3 x 621 ) / 621
= 3 / 621
= 3
So, Greatest Common Divisor of 375, 567, 564, 621 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 567, 564, 621
The greatest common divisor of numbers 375, 567, 564, 621 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 567, 564, 621 is 3.
1. What is the GCD of 375, 567, 564, 621?
GCD of given numbers 375, 567, 564, 621 is 3
2. How to calculate the greatest common divisor of 375, 567, 564, 621?
We can find the highest common divisor of 375, 567, 564, 621 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 375, 567, 564, 621 i.e 3.
3. How can I use the GCD of 375, 567, 564, 621Calculator?
Out the numbers 375, 567, 564, 621 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.