Online GCD Calculator is useful to find the GCD of 159, 105, 496, 253 quickly. Get the easiest ways to solve the greatest common divisor of 159, 105, 496, 253 i.e 1 in different methods as follows.
Given Input numbers are 159, 105, 496, 253
In the factoring method, we have to find the divisors of all numbers
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
GCD of numbers is the greatest common divisor
So, the GCD (159, 105, 496, 253) = 1.
Given numbers are 159, 105, 496, 253
The list of prime factors of all numbers are
Prime factors of 159 are 3 x 53
Prime factors of 105 are 3 x 5 x 7
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 253 are 11 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 159, 105, 496, 253
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(159, 105) = 5565
GCD(159, 105) = ( 159 x 105 ) / 5565
= 159 / 105
= 159
Step2:
LCM(3, 496) = 1488
GCD(3, 496) = ( 3 x 496 ) / 1488
= 3 / 496
= 3
Step3:
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
= 1 / 253
= 1
So, Greatest Common Divisor of 159, 105, 496, 253 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 159, 105, 496, 253
The greatest common divisor of numbers 159, 105, 496, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 105, 496, 253 is 1.
1. What is the GCD of 159, 105, 496, 253?
GCD of given numbers 159, 105, 496, 253 is 1
2. How to calculate the greatest common divisor of 159, 105, 496, 253?
We can find the highest common divisor of 159, 105, 496, 253 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 159, 105, 496, 253 i.e 1.
3. How can I use the GCD of 159, 105, 496, 253Calculator?
Out the numbers 159, 105, 496, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.