Online GCD Calculator is useful to find the GCD of 121, 165, 374 quickly. Get the easiest ways to solve the greatest common divisor of 121, 165, 374 i.e 11 in different methods as follows.
Given Input numbers are 121, 165, 374
In the factoring method, we have to find the divisors of all numbers
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (121, 165, 374) = 11.
Given numbers are 121, 165, 374
The list of prime factors of all numbers are
Prime factors of 121 are 11 x 11
Prime factors of 165 are 3 x 5 x 11
Prime factors of 374 are 2 x 11 x 17
The highest common occurrence is 111
Therefore, GCD of 121, 165, 374 is 11.
Given numbers are 121, 165, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(121, 165) = 1815
GCD(121, 165) = ( 121 x 165 ) / 1815
= 121 / 165
= 121
Step2:
LCM(11, 374) = 374
GCD(11, 374) = ( 11 x 374 ) / 374
= 11 / 374
= 11
So, Greatest Common Divisor of 121, 165, 374 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 121, 165, 374
The greatest common divisor of numbers 121, 165, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 165, 374 is 11.
1. What is the GCD of 121, 165, 374?
GCD of given numbers 121, 165, 374 is 11
2. How to calculate the greatest common divisor of 121, 165, 374?
We can find the highest common divisor of 121, 165, 374 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 121, 165, 374 i.e 11.
3. How can I use the GCD of 121, 165, 374Calculator?
Out the numbers 121, 165, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.