Online GCD Calculator is useful to find the GCD of 274, 404, 343, 231 quickly. Get the easiest ways to solve the greatest common divisor of 274, 404, 343, 231 i.e 1 in different methods as follows.
Given Input numbers are 274, 404, 343, 231
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 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (274, 404, 343, 231) = 1.
Given numbers are 274, 404, 343, 231
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 404 are 2 x 2 x 101
Prime factors of 343 are 7 x 7 x 7
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 404, 343, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 404) = 55348
GCD(274, 404) = ( 274 x 404 ) / 55348
= 274 / 404
= 274
Step2:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
Step3:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 274, 404, 343, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 404, 343, 231
The greatest common divisor of numbers 274, 404, 343, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 404, 343, 231 is 1.
1. What is the GCD of 274, 404, 343, 231?
GCD of given numbers 274, 404, 343, 231 is 1
2. How to calculate the greatest common divisor of 274, 404, 343, 231?
We can find the highest common divisor of 274, 404, 343, 231 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, 404, 343, 231 i.e 1.
3. How can I use the GCD of 274, 404, 343, 231Calculator?
Out the numbers 274, 404, 343, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.