Online GCD Calculator is useful to find the GCD of 229, 343, 277, 990 quickly. Get the easiest ways to solve the greatest common divisor of 229, 343, 277, 990 i.e 1 in different methods as follows.
Given Input numbers are 229, 343, 277, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 277 :
The positive integer divisors of 277 that completely divides 277 are.
1, 277
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (229, 343, 277, 990) = 1.
Given numbers are 229, 343, 277, 990
The list of prime factors of all numbers are
Prime factors of 229 are 229
Prime factors of 343 are 7 x 7 x 7
Prime factors of 277 are 277
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 229, 343, 277, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(229, 343) = 78547
GCD(229, 343) = ( 229 x 343 ) / 78547
= 229 / 343
= 229
Step2:
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
= 1 / 277
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 229, 343, 277, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 229, 343, 277, 990
The greatest common divisor of numbers 229, 343, 277, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 343, 277, 990 is 1.
1. What is the GCD of 229, 343, 277, 990?
GCD of given numbers 229, 343, 277, 990 is 1
2. How to calculate the greatest common divisor of 229, 343, 277, 990?
We can find the highest common divisor of 229, 343, 277, 990 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 229, 343, 277, 990 i.e 1.
3. How can I use the GCD of 229, 343, 277, 990Calculator?
Out the numbers 229, 343, 277, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.