Online GCD Calculator is useful to find the GCD of 274, 362, 814 quickly. Get the easiest ways to solve the greatest common divisor of 274, 362, 814 i.e 2 in different methods as follows.
Given Input numbers are 274, 362, 814
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 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (274, 362, 814) = 2.
Given numbers are 274, 362, 814
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 362 are 2 x 181
Prime factors of 814 are 2 x 11 x 37
The highest common occurrence is 21
Therefore, GCD of 274, 362, 814 is 2.
Given numbers are 274, 362, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 362) = 49594
GCD(274, 362) = ( 274 x 362 ) / 49594
= 274 / 362
= 274
Step2:
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
= 2 / 814
= 2
So, Greatest Common Divisor of 274, 362, 814 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 362, 814
The greatest common divisor of numbers 274, 362, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 362, 814 is 2.
1. What is the GCD of 274, 362, 814?
GCD of given numbers 274, 362, 814 is 2
2. How to calculate the greatest common divisor of 274, 362, 814?
We can find the highest common divisor of 274, 362, 814 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, 362, 814 i.e 2.
3. How can I use the GCD of 274, 362, 814Calculator?
Out the numbers 274, 362, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.