Online GCD Calculator is useful to find the GCD of 296, 210, 308, 352 quickly. Get the easiest ways to solve the greatest common divisor of 296, 210, 308, 352 i.e 2 in different methods as follows.
Given Input numbers are 296, 210, 308, 352
In the factoring method, we have to find the divisors of all numbers
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (296, 210, 308, 352) = 2.
Given numbers are 296, 210, 308, 352
The list of prime factors of all numbers are
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 296, 210, 308, 352 is 2.
Given numbers are 296, 210, 308, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(296, 210) = 31080
GCD(296, 210) = ( 296 x 210 ) / 31080
= 296 / 210
= 296
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
So, Greatest Common Divisor of 296, 210, 308, 352 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 296, 210, 308, 352
The greatest common divisor of numbers 296, 210, 308, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 210, 308, 352 is 2.
1. What is the GCD of 296, 210, 308, 352?
GCD of given numbers 296, 210, 308, 352 is 2
2. How to calculate the greatest common divisor of 296, 210, 308, 352?
We can find the highest common divisor of 296, 210, 308, 352 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 296, 210, 308, 352 i.e 2.
3. How can I use the GCD of 296, 210, 308, 352Calculator?
Out the numbers 296, 210, 308, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.