Online GCD Calculator is useful to find the GCD of 105, 996, 136, 297 quickly. Get the easiest ways to solve the greatest common divisor of 105, 996, 136, 297 i.e 1 in different methods as follows.
Given Input numbers are 105, 996, 136, 297
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (105, 996, 136, 297) = 1.
Given numbers are 105, 996, 136, 297
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 297 are 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 996, 136, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 996) = 34860
GCD(105, 996) = ( 105 x 996 ) / 34860
= 105 / 996
= 105
Step2:
LCM(3, 136) = 408
GCD(3, 136) = ( 3 x 136 ) / 408
= 3 / 136
= 3
Step3:
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
= 1 / 297
= 1
So, Greatest Common Divisor of 105, 996, 136, 297 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 996, 136, 297
The greatest common divisor of numbers 105, 996, 136, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 996, 136, 297 is 1.
1. What is the GCD of 105, 996, 136, 297?
GCD of given numbers 105, 996, 136, 297 is 1
2. How to calculate the greatest common divisor of 105, 996, 136, 297?
We can find the highest common divisor of 105, 996, 136, 297 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 105, 996, 136, 297 i.e 1.
3. How can I use the GCD of 105, 996, 136, 297Calculator?
Out the numbers 105, 996, 136, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.