Online GCD Calculator is useful to find the GCD of 824, 432, 313, 424 quickly. Get the easiest ways to solve the greatest common divisor of 824, 432, 313, 424 i.e 1 in different methods as follows.
Given Input numbers are 824, 432, 313, 424
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
GCD of numbers is the greatest common divisor
So, the GCD (824, 432, 313, 424) = 1.
Given numbers are 824, 432, 313, 424
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 313 are 313
Prime factors of 424 are 2 x 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 824, 432, 313, 424
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 432) = 44496
GCD(824, 432) = ( 824 x 432 ) / 44496
= 824 / 432
= 824
Step2:
LCM(8, 313) = 2504
GCD(8, 313) = ( 8 x 313 ) / 2504
= 8 / 313
= 8
Step3:
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
= 1 / 424
= 1
So, Greatest Common Divisor of 824, 432, 313, 424 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 432, 313, 424
The greatest common divisor of numbers 824, 432, 313, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 432, 313, 424 is 1.
1. What is the GCD of 824, 432, 313, 424?
GCD of given numbers 824, 432, 313, 424 is 1
2. How to calculate the greatest common divisor of 824, 432, 313, 424?
We can find the highest common divisor of 824, 432, 313, 424 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 824, 432, 313, 424 i.e 1.
3. How can I use the GCD of 824, 432, 313, 424Calculator?
Out the numbers 824, 432, 313, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.