Online GCD Calculator is useful to find the GCD of 865, 105, 825, 620 quickly. Get the easiest ways to solve the greatest common divisor of 865, 105, 825, 620 i.e 5 in different methods as follows.
Given Input numbers are 865, 105, 825, 620
In the factoring method, we have to find the divisors of all numbers
Divisors of 865 :
The positive integer divisors of 865 that completely divides 865 are.
1, 5, 173, 865
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
GCD of numbers is the greatest common divisor
So, the GCD (865, 105, 825, 620) = 5.
Given numbers are 865, 105, 825, 620
The list of prime factors of all numbers are
Prime factors of 865 are 5 x 173
Prime factors of 105 are 3 x 5 x 7
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 620 are 2 x 2 x 5 x 31
The highest common occurrence is 51
Therefore, GCD of 865, 105, 825, 620 is 5.
Given numbers are 865, 105, 825, 620
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(865, 105) = 18165
GCD(865, 105) = ( 865 x 105 ) / 18165
= 865 / 105
= 865
Step2:
LCM(5, 825) = 825
GCD(5, 825) = ( 5 x 825 ) / 825
= 5 / 825
= 5
Step3:
LCM(5, 620) = 620
GCD(5, 620) = ( 5 x 620 ) / 620
= 5 / 620
= 5
So, Greatest Common Divisor of 865, 105, 825, 620 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 865, 105, 825, 620
The greatest common divisor of numbers 865, 105, 825, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 865, 105, 825, 620 is 5.
1. What is the GCD of 865, 105, 825, 620?
GCD of given numbers 865, 105, 825, 620 is 5
2. How to calculate the greatest common divisor of 865, 105, 825, 620?
We can find the highest common divisor of 865, 105, 825, 620 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 865, 105, 825, 620 i.e 5.
3. How can I use the GCD of 865, 105, 825, 620Calculator?
Out the numbers 865, 105, 825, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.