Online GCD Calculator is useful to find the GCD of 965, 710, 400, 375 quickly. Get the easiest ways to solve the greatest common divisor of 965, 710, 400, 375 i.e 5 in different methods as follows.
Given Input numbers are 965, 710, 400, 375
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 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (965, 710, 400, 375) = 5.
Given numbers are 965, 710, 400, 375
The list of prime factors of all numbers are
Prime factors of 965 are 5 x 193
Prime factors of 710 are 2 x 5 x 71
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 965, 710, 400, 375 is 5.
Given numbers are 965, 710, 400, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(965, 710) = 137030
GCD(965, 710) = ( 965 x 710 ) / 137030
= 965 / 710
= 965
Step2:
LCM(5, 400) = 400
GCD(5, 400) = ( 5 x 400 ) / 400
= 5 / 400
= 5
Step3:
LCM(5, 375) = 375
GCD(5, 375) = ( 5 x 375 ) / 375
= 5 / 375
= 5
So, Greatest Common Divisor of 965, 710, 400, 375 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 965, 710, 400, 375
The greatest common divisor of numbers 965, 710, 400, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 710, 400, 375 is 5.
1. What is the GCD of 965, 710, 400, 375?
GCD of given numbers 965, 710, 400, 375 is 5
2. How to calculate the greatest common divisor of 965, 710, 400, 375?
We can find the highest common divisor of 965, 710, 400, 375 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, 710, 400, 375 i.e 5.
3. How can I use the GCD of 965, 710, 400, 375Calculator?
Out the numbers 965, 710, 400, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.