Online GCD Calculator is useful to find the GCD of 548, 320, 612, 434 quickly. Get the easiest ways to solve the greatest common divisor of 548, 320, 612, 434 i.e 2 in different methods as follows.
Given Input numbers are 548, 320, 612, 434
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 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (548, 320, 612, 434) = 2.
Given numbers are 548, 320, 612, 434
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 434 are 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 548, 320, 612, 434 is 2.
Given numbers are 548, 320, 612, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 320) = 43840
GCD(548, 320) = ( 548 x 320 ) / 43840
= 548 / 320
= 548
Step2:
LCM(4, 612) = 612
GCD(4, 612) = ( 4 x 612 ) / 612
= 4 / 612
= 4
Step3:
LCM(4, 434) = 868
GCD(4, 434) = ( 4 x 434 ) / 868
= 4 / 434
= 4
So, Greatest Common Divisor of 548, 320, 612, 434 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 320, 612, 434
The greatest common divisor of numbers 548, 320, 612, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 320, 612, 434 is 2.
1. What is the GCD of 548, 320, 612, 434?
GCD of given numbers 548, 320, 612, 434 is 2
2. How to calculate the greatest common divisor of 548, 320, 612, 434?
We can find the highest common divisor of 548, 320, 612, 434 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, 320, 612, 434 i.e 2.
3. How can I use the GCD of 548, 320, 612, 434Calculator?
Out the numbers 548, 320, 612, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.