Online GCD Calculator is useful to find the GCD of 316, 952, 414, 288 quickly. Get the easiest ways to solve the greatest common divisor of 316, 952, 414, 288 i.e 2 in different methods as follows.
Given Input numbers are 316, 952, 414, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (316, 952, 414, 288) = 2.
Given numbers are 316, 952, 414, 288
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 316, 952, 414, 288 is 2.
Given numbers are 316, 952, 414, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 952) = 75208
GCD(316, 952) = ( 316 x 952 ) / 75208
= 316 / 952
= 316
Step2:
LCM(4, 414) = 828
GCD(4, 414) = ( 4 x 414 ) / 828
= 4 / 414
= 4
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 316, 952, 414, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 952, 414, 288
The greatest common divisor of numbers 316, 952, 414, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 952, 414, 288 is 2.
1. What is the GCD of 316, 952, 414, 288?
GCD of given numbers 316, 952, 414, 288 is 2
2. How to calculate the greatest common divisor of 316, 952, 414, 288?
We can find the highest common divisor of 316, 952, 414, 288 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 316, 952, 414, 288 i.e 2.
3. How can I use the GCD of 316, 952, 414, 288Calculator?
Out the numbers 316, 952, 414, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.