Online GCD Calculator is useful to find the GCD of 965, 915, 315, 925 quickly. Get the easiest ways to solve the greatest common divisor of 965, 915, 315, 925 i.e 5 in different methods as follows.
Given Input numbers are 965, 915, 315, 925
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 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
GCD of numbers is the greatest common divisor
So, the GCD (965, 915, 315, 925) = 5.
Given numbers are 965, 915, 315, 925
The list of prime factors of all numbers are
Prime factors of 965 are 5 x 193
Prime factors of 915 are 3 x 5 x 61
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 925 are 5 x 5 x 37
The highest common occurrence is 51
Therefore, GCD of 965, 915, 315, 925 is 5.
Given numbers are 965, 915, 315, 925
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(965, 915) = 176595
GCD(965, 915) = ( 965 x 915 ) / 176595
= 965 / 915
= 965
Step2:
LCM(5, 315) = 315
GCD(5, 315) = ( 5 x 315 ) / 315
= 5 / 315
= 5
Step3:
LCM(5, 925) = 925
GCD(5, 925) = ( 5 x 925 ) / 925
= 5 / 925
= 5
So, Greatest Common Divisor of 965, 915, 315, 925 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 965, 915, 315, 925
The greatest common divisor of numbers 965, 915, 315, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 915, 315, 925 is 5.
1. What is the GCD of 965, 915, 315, 925?
GCD of given numbers 965, 915, 315, 925 is 5
2. How to calculate the greatest common divisor of 965, 915, 315, 925?
We can find the highest common divisor of 965, 915, 315, 925 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, 915, 315, 925 i.e 5.
3. How can I use the GCD of 965, 915, 315, 925Calculator?
Out the numbers 965, 915, 315, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.