Online GCD Calculator is useful to find the GCD of 548, 794, 474, 364 quickly. Get the easiest ways to solve the greatest common divisor of 548, 794, 474, 364 i.e 2 in different methods as follows.
Given Input numbers are 548, 794, 474, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (548, 794, 474, 364) = 2.
Given numbers are 548, 794, 474, 364
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 794 are 2 x 397
Prime factors of 474 are 2 x 3 x 79
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 548, 794, 474, 364 is 2.
Given numbers are 548, 794, 474, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 794) = 217556
GCD(548, 794) = ( 548 x 794 ) / 217556
= 548 / 794
= 548
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
So, Greatest Common Divisor of 548, 794, 474, 364 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 794, 474, 364
The greatest common divisor of numbers 548, 794, 474, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 794, 474, 364 is 2.
1. What is the GCD of 548, 794, 474, 364?
GCD of given numbers 548, 794, 474, 364 is 2
2. How to calculate the greatest common divisor of 548, 794, 474, 364?
We can find the highest common divisor of 548, 794, 474, 364 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 548, 794, 474, 364 i.e 2.
3. How can I use the GCD of 548, 794, 474, 364Calculator?
Out the numbers 548, 794, 474, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.