Online GCD Calculator is useful to find the GCD of 546, 390, 338 quickly. Get the easiest ways to solve the greatest common divisor of 546, 390, 338 i.e 26 in different methods as follows.
Given Input numbers are 546, 390, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (546, 390, 338) = 26.
Given numbers are 546, 390, 338
The list of prime factors of all numbers are
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 131 x 21
Therefore, GCD of 546, 390, 338 is 26.
Given numbers are 546, 390, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(546, 390) = 2730
GCD(546, 390) = ( 546 x 390 ) / 2730
= 546 / 390
= 546
Step2:
LCM(78, 338) = 1014
GCD(78, 338) = ( 78 x 338 ) / 1014
= 78 / 338
= 78
So, Greatest Common Divisor of 546, 390, 338 is 26
Here are some samples of GCD of Numbers calculations.
Given numbers are 546, 390, 338
The greatest common divisor of numbers 546, 390, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 390, 338 is 26.
1. What is the GCD of 546, 390, 338?
GCD of given numbers 546, 390, 338 is 26
2. How to calculate the greatest common divisor of 546, 390, 338?
We can find the highest common divisor of 546, 390, 338 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 546, 390, 338 i.e 26.
3. How can I use the GCD of 546, 390, 338Calculator?
Out the numbers 546, 390, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.