Online GCD Calculator is useful to find the GCD of 824, 322, 702, 430 quickly. Get the easiest ways to solve the greatest common divisor of 824, 322, 702, 430 i.e 2 in different methods as follows.
Given Input numbers are 824, 322, 702, 430
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
GCD of numbers is the greatest common divisor
So, the GCD (824, 322, 702, 430) = 2.
Given numbers are 824, 322, 702, 430
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 322 are 2 x 7 x 23
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 430 are 2 x 5 x 43
The highest common occurrence is 21
Therefore, GCD of 824, 322, 702, 430 is 2.
Given numbers are 824, 322, 702, 430
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 322) = 132664
GCD(824, 322) = ( 824 x 322 ) / 132664
= 824 / 322
= 824
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 430) = 430
GCD(2, 430) = ( 2 x 430 ) / 430
= 2 / 430
= 2
So, Greatest Common Divisor of 824, 322, 702, 430 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 322, 702, 430
The greatest common divisor of numbers 824, 322, 702, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 322, 702, 430 is 2.
1. What is the GCD of 824, 322, 702, 430?
GCD of given numbers 824, 322, 702, 430 is 2
2. How to calculate the greatest common divisor of 824, 322, 702, 430?
We can find the highest common divisor of 824, 322, 702, 430 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, 322, 702, 430 i.e 2.
3. How can I use the GCD of 824, 322, 702, 430Calculator?
Out the numbers 824, 322, 702, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.