Online GCD Calculator is useful to find the GCD of 424, 428, 696, 484 quickly. Get the easiest ways to solve the greatest common divisor of 424, 428, 696, 484 i.e 4 in different methods as follows.
Given Input numbers are 424, 428, 696, 484
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (424, 428, 696, 484) = 4.
Given numbers are 424, 428, 696, 484
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 428 are 2 x 2 x 107
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 484 are 2 x 2 x 11 x 11
The highest common occurrence is 22
Therefore, GCD of 424, 428, 696, 484 is 4.
Given numbers are 424, 428, 696, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 428) = 45368
GCD(424, 428) = ( 424 x 428 ) / 45368
= 424 / 428
= 424
Step2:
LCM(4, 696) = 696
GCD(4, 696) = ( 4 x 696 ) / 696
= 4 / 696
= 4
Step3:
LCM(4, 484) = 484
GCD(4, 484) = ( 4 x 484 ) / 484
= 4 / 484
= 4
So, Greatest Common Divisor of 424, 428, 696, 484 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 428, 696, 484
The greatest common divisor of numbers 424, 428, 696, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 428, 696, 484 is 4.
1. What is the GCD of 424, 428, 696, 484?
GCD of given numbers 424, 428, 696, 484 is 4
2. How to calculate the greatest common divisor of 424, 428, 696, 484?
We can find the highest common divisor of 424, 428, 696, 484 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, 428, 696, 484 i.e 4.
3. How can I use the GCD of 424, 428, 696, 484Calculator?
Out the numbers 424, 428, 696, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.