Online GCD Calculator is useful to find the GCD of 137, 116, 112, 275 quickly. Get the easiest ways to solve the greatest common divisor of 137, 116, 112, 275 i.e 1 in different methods as follows.
Given Input numbers are 137, 116, 112, 275
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
GCD of numbers is the greatest common divisor
So, the GCD (137, 116, 112, 275) = 1.
Given numbers are 137, 116, 112, 275
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 116 are 2 x 2 x 29
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 275 are 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 116, 112, 275
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 116) = 15892
GCD(137, 116) = ( 137 x 116 ) / 15892
= 137 / 116
= 137
Step2:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
Step3:
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
= 1 / 275
= 1
So, Greatest Common Divisor of 137, 116, 112, 275 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 116, 112, 275
The greatest common divisor of numbers 137, 116, 112, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 116, 112, 275 is 1.
1. What is the GCD of 137, 116, 112, 275?
GCD of given numbers 137, 116, 112, 275 is 1
2. How to calculate the greatest common divisor of 137, 116, 112, 275?
We can find the highest common divisor of 137, 116, 112, 275 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 137, 116, 112, 275 i.e 1.
3. How can I use the GCD of 137, 116, 112, 275Calculator?
Out the numbers 137, 116, 112, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.