Online GCD Calculator is useful to find the GCD of 116, 916, 274, 155 quickly. Get the easiest ways to solve the greatest common divisor of 116, 916, 274, 155 i.e 1 in different methods as follows.
Given Input numbers are 116, 916, 274, 155
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
GCD of numbers is the greatest common divisor
So, the GCD (116, 916, 274, 155) = 1.
Given numbers are 116, 916, 274, 155
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 916 are 2 x 2 x 229
Prime factors of 274 are 2 x 137
Prime factors of 155 are 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 916, 274, 155
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 916) = 26564
GCD(116, 916) = ( 116 x 916 ) / 26564
= 116 / 916
= 116
Step2:
LCM(4, 274) = 548
GCD(4, 274) = ( 4 x 274 ) / 548
= 4 / 274
= 4
Step3:
LCM(2, 155) = 310
GCD(2, 155) = ( 2 x 155 ) / 310
= 2 / 155
= 2
So, Greatest Common Divisor of 116, 916, 274, 155 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 916, 274, 155
The greatest common divisor of numbers 116, 916, 274, 155 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 916, 274, 155 is 1.
1. What is the GCD of 116, 916, 274, 155?
GCD of given numbers 116, 916, 274, 155 is 1
2. How to calculate the greatest common divisor of 116, 916, 274, 155?
We can find the highest common divisor of 116, 916, 274, 155 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 116, 916, 274, 155 i.e 1.
3. How can I use the GCD of 116, 916, 274, 155Calculator?
Out the numbers 116, 916, 274, 155 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.