Online GCD Calculator is useful to find the GCD of 274, 306, 264, 675 quickly. Get the easiest ways to solve the greatest common divisor of 274, 306, 264, 675 i.e 1 in different methods as follows.
Given Input numbers are 274, 306, 264, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (274, 306, 264, 675) = 1.
Given numbers are 274, 306, 264, 675
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 306, 264, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 306) = 41922
GCD(274, 306) = ( 274 x 306 ) / 41922
= 274 / 306
= 274
Step2:
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
= 2 / 264
= 2
Step3:
LCM(2, 675) = 1350
GCD(2, 675) = ( 2 x 675 ) / 1350
= 2 / 675
= 2
So, Greatest Common Divisor of 274, 306, 264, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 306, 264, 675
The greatest common divisor of numbers 274, 306, 264, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 306, 264, 675 is 1.
1. What is the GCD of 274, 306, 264, 675?
GCD of given numbers 274, 306, 264, 675 is 1
2. How to calculate the greatest common divisor of 274, 306, 264, 675?
We can find the highest common divisor of 274, 306, 264, 675 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 274, 306, 264, 675 i.e 1.
3. How can I use the GCD of 274, 306, 264, 675Calculator?
Out the numbers 274, 306, 264, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.