Online GCD Calculator is useful to find the GCD of 546, 338, 804, 824 quickly. Get the easiest ways to solve the greatest common divisor of 546, 338, 804, 824 i.e 2 in different methods as follows.
Given Input numbers are 546, 338, 804, 824
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (546, 338, 804, 824) = 2.
Given numbers are 546, 338, 804, 824
The list of prime factors of all numbers are
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 338 are 2 x 13 x 13
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 546, 338, 804, 824 is 2.
Given numbers are 546, 338, 804, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(546, 338) = 7098
GCD(546, 338) = ( 546 x 338 ) / 7098
= 546 / 338
= 546
Step2:
LCM(26, 804) = 10452
GCD(26, 804) = ( 26 x 804 ) / 10452
= 26 / 804
= 26
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 546, 338, 804, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 546, 338, 804, 824
The greatest common divisor of numbers 546, 338, 804, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 338, 804, 824 is 2.
1. What is the GCD of 546, 338, 804, 824?
GCD of given numbers 546, 338, 804, 824 is 2
2. How to calculate the greatest common divisor of 546, 338, 804, 824?
We can find the highest common divisor of 546, 338, 804, 824 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, 338, 804, 824 i.e 2.
3. How can I use the GCD of 546, 338, 804, 824Calculator?
Out the numbers 546, 338, 804, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.