Online GCD Calculator is useful to find the GCD of 424, 698, 576, 578 quickly. Get the easiest ways to solve the greatest common divisor of 424, 698, 576, 578 i.e 2 in different methods as follows.
Given Input numbers are 424, 698, 576, 578
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
GCD of numbers is the greatest common divisor
So, the GCD (424, 698, 576, 578) = 2.
Given numbers are 424, 698, 576, 578
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 698 are 2 x 349
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 578 are 2 x 17 x 17
The highest common occurrence is 21
Therefore, GCD of 424, 698, 576, 578 is 2.
Given numbers are 424, 698, 576, 578
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 698) = 147976
GCD(424, 698) = ( 424 x 698 ) / 147976
= 424 / 698
= 424
Step2:
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
= 2 / 576
= 2
Step3:
LCM(2, 578) = 578
GCD(2, 578) = ( 2 x 578 ) / 578
= 2 / 578
= 2
So, Greatest Common Divisor of 424, 698, 576, 578 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 698, 576, 578
The greatest common divisor of numbers 424, 698, 576, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 698, 576, 578 is 2.
1. What is the GCD of 424, 698, 576, 578?
GCD of given numbers 424, 698, 576, 578 is 2
2. How to calculate the greatest common divisor of 424, 698, 576, 578?
We can find the highest common divisor of 424, 698, 576, 578 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 424, 698, 576, 578 i.e 2.
3. How can I use the GCD of 424, 698, 576, 578Calculator?
Out the numbers 424, 698, 576, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.