Online GCD Calculator is useful to find the GCD of 114, 169, 250, 274 quickly. Get the easiest ways to solve the greatest common divisor of 114, 169, 250, 274 i.e 1 in different methods as follows.
Given Input numbers are 114, 169, 250, 274
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
GCD of numbers is the greatest common divisor
So, the GCD (114, 169, 250, 274) = 1.
Given numbers are 114, 169, 250, 274
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 169 are 13 x 13
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 274 are 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 114, 169, 250, 274
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 169) = 19266
GCD(114, 169) = ( 114 x 169 ) / 19266
= 114 / 169
= 114
Step2:
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
= 1 / 250
= 1
Step3:
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
= 1 / 274
= 1
So, Greatest Common Divisor of 114, 169, 250, 274 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 169, 250, 274
The greatest common divisor of numbers 114, 169, 250, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 169, 250, 274 is 1.
1. What is the GCD of 114, 169, 250, 274?
GCD of given numbers 114, 169, 250, 274 is 1
2. How to calculate the greatest common divisor of 114, 169, 250, 274?
We can find the highest common divisor of 114, 169, 250, 274 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 114, 169, 250, 274 i.e 1.
3. How can I use the GCD of 114, 169, 250, 274Calculator?
Out the numbers 114, 169, 250, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.