Online GCD Calculator is useful to find the GCD of 965, 520, 75 quickly. Get the easiest ways to solve the greatest common divisor of 965, 520, 75 i.e 5 in different methods as follows.
Given Input numbers are 965, 520, 75
In the factoring method, we have to find the divisors of all numbers
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
GCD of numbers is the greatest common divisor
So, the GCD (965, 520, 75) = 5.
Given numbers are 965, 520, 75
The list of prime factors of all numbers are
Prime factors of 965 are 5 x 193
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 75 are 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 965, 520, 75 is 5.
Given numbers are 965, 520, 75
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(965, 520) = 100360
GCD(965, 520) = ( 965 x 520 ) / 100360
= 965 / 520
= 965
Step2:
LCM(5, 75) = 75
GCD(5, 75) = ( 5 x 75 ) / 75
= 5 / 75
= 5
So, Greatest Common Divisor of 965, 520, 75 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 965, 520, 75
The greatest common divisor of numbers 965, 520, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 520, 75 is 5.
1. What is the GCD of 965, 520, 75?
GCD of given numbers 965, 520, 75 is 5
2. How to calculate the greatest common divisor of 965, 520, 75?
We can find the highest common divisor of 965, 520, 75 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 965, 520, 75 i.e 5.
3. How can I use the GCD of 965, 520, 75Calculator?
Out the numbers 965, 520, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.