Online GCD Calculator is useful to find the GCD of 496, 308, 189, 316 quickly. Get the easiest ways to solve the greatest common divisor of 496, 308, 189, 316 i.e 1 in different methods as follows.
Given Input numbers are 496, 308, 189, 316
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (496, 308, 189, 316) = 1.
Given numbers are 496, 308, 189, 316
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 316 are 2 x 2 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 496, 308, 189, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 308) = 38192
GCD(496, 308) = ( 496 x 308 ) / 38192
= 496 / 308
= 496
Step2:
LCM(4, 189) = 756
GCD(4, 189) = ( 4 x 189 ) / 756
= 4 / 189
= 4
Step3:
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
= 1 / 316
= 1
So, Greatest Common Divisor of 496, 308, 189, 316 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 308, 189, 316
The greatest common divisor of numbers 496, 308, 189, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 308, 189, 316 is 1.
1. What is the GCD of 496, 308, 189, 316?
GCD of given numbers 496, 308, 189, 316 is 1
2. How to calculate the greatest common divisor of 496, 308, 189, 316?
We can find the highest common divisor of 496, 308, 189, 316 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 496, 308, 189, 316 i.e 1.
3. How can I use the GCD of 496, 308, 189, 316Calculator?
Out the numbers 496, 308, 189, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.