Online GCD Calculator is useful to find the GCD of 264, 310, 174, 121 quickly. Get the easiest ways to solve the greatest common divisor of 264, 310, 174, 121 i.e 1 in different methods as follows.
Given Input numbers are 264, 310, 174, 121
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
GCD of numbers is the greatest common divisor
So, the GCD (264, 310, 174, 121) = 1.
Given numbers are 264, 310, 174, 121
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 310 are 2 x 5 x 31
Prime factors of 174 are 2 x 3 x 29
Prime factors of 121 are 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 264, 310, 174, 121
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 310) = 40920
GCD(264, 310) = ( 264 x 310 ) / 40920
= 264 / 310
= 264
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
= 2 / 121
= 2
So, Greatest Common Divisor of 264, 310, 174, 121 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 310, 174, 121
The greatest common divisor of numbers 264, 310, 174, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 310, 174, 121 is 1.
1. What is the GCD of 264, 310, 174, 121?
GCD of given numbers 264, 310, 174, 121 is 1
2. How to calculate the greatest common divisor of 264, 310, 174, 121?
We can find the highest common divisor of 264, 310, 174, 121 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 264, 310, 174, 121 i.e 1.
3. How can I use the GCD of 264, 310, 174, 121Calculator?
Out the numbers 264, 310, 174, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.