Online GCD Calculator is useful to find the GCD of 355, 138, 228, 343 quickly. Get the easiest ways to solve the greatest common divisor of 355, 138, 228, 343 i.e 1 in different methods as follows.
Given Input numbers are 355, 138, 228, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (355, 138, 228, 343) = 1.
Given numbers are 355, 138, 228, 343
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 138 are 2 x 3 x 23
Prime factors of 228 are 2 x 2 x 3 x 19
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 355, 138, 228, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 138) = 48990
GCD(355, 138) = ( 355 x 138 ) / 48990
= 355 / 138
= 355
Step2:
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
= 1 / 228
= 1
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 355, 138, 228, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 138, 228, 343
The greatest common divisor of numbers 355, 138, 228, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 138, 228, 343 is 1.
1. What is the GCD of 355, 138, 228, 343?
GCD of given numbers 355, 138, 228, 343 is 1
2. How to calculate the greatest common divisor of 355, 138, 228, 343?
We can find the highest common divisor of 355, 138, 228, 343 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 355, 138, 228, 343 i.e 1.
3. How can I use the GCD of 355, 138, 228, 343Calculator?
Out the numbers 355, 138, 228, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.