Online GCD Calculator is useful to find the GCD of 917, 616, 315 quickly. Get the easiest ways to solve the greatest common divisor of 917, 616, 315 i.e 7 in different methods as follows.
Given Input numbers are 917, 616, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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
GCD of numbers is the greatest common divisor
So, the GCD (917, 616, 315) = 7.
Given numbers are 917, 616, 315
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 315 are 3 x 3 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 917, 616, 315 is 7.
Given numbers are 917, 616, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 616) = 80696
GCD(917, 616) = ( 917 x 616 ) / 80696
= 917 / 616
= 917
Step2:
LCM(7, 315) = 315
GCD(7, 315) = ( 7 x 315 ) / 315
= 7 / 315
= 7
So, Greatest Common Divisor of 917, 616, 315 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 917, 616, 315
The greatest common divisor of numbers 917, 616, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 616, 315 is 7.
1. What is the GCD of 917, 616, 315?
GCD of given numbers 917, 616, 315 is 7
2. How to calculate the greatest common divisor of 917, 616, 315?
We can find the highest common divisor of 917, 616, 315 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 917, 616, 315 i.e 7.
3. How can I use the GCD of 917, 616, 315Calculator?
Out the numbers 917, 616, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.