Online GCD Calculator is useful to find the GCD of 315, 710, 600 quickly. Get the easiest ways to solve the greatest common divisor of 315, 710, 600 i.e 5 in different methods as follows.
Given Input numbers are 315, 710, 600
In the factoring method, we have to find the divisors of all numbers
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 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (315, 710, 600) = 5.
Given numbers are 315, 710, 600
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 710 are 2 x 5 x 71
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 315, 710, 600 is 5.
Given numbers are 315, 710, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 710) = 44730
GCD(315, 710) = ( 315 x 710 ) / 44730
= 315 / 710
= 315
Step2:
LCM(5, 600) = 600
GCD(5, 600) = ( 5 x 600 ) / 600
= 5 / 600
= 5
So, Greatest Common Divisor of 315, 710, 600 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 710, 600
The greatest common divisor of numbers 315, 710, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 710, 600 is 5.
1. What is the GCD of 315, 710, 600?
GCD of given numbers 315, 710, 600 is 5
2. How to calculate the greatest common divisor of 315, 710, 600?
We can find the highest common divisor of 315, 710, 600 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 315, 710, 600 i.e 5.
3. How can I use the GCD of 315, 710, 600Calculator?
Out the numbers 315, 710, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.