Online GCD Calculator is useful to find the GCD of 822, 532, 466, 704 quickly. Get the easiest ways to solve the greatest common divisor of 822, 532, 466, 704 i.e 2 in different methods as follows.
Given Input numbers are 822, 532, 466, 704
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
GCD of numbers is the greatest common divisor
So, the GCD (822, 532, 466, 704) = 2.
Given numbers are 822, 532, 466, 704
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 466 are 2 x 233
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 822, 532, 466, 704 is 2.
Given numbers are 822, 532, 466, 704
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 532) = 218652
GCD(822, 532) = ( 822 x 532 ) / 218652
= 822 / 532
= 822
Step2:
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
= 2 / 466
= 2
Step3:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
So, Greatest Common Divisor of 822, 532, 466, 704 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 532, 466, 704
The greatest common divisor of numbers 822, 532, 466, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 532, 466, 704 is 2.
1. What is the GCD of 822, 532, 466, 704?
GCD of given numbers 822, 532, 466, 704 is 2
2. How to calculate the greatest common divisor of 822, 532, 466, 704?
We can find the highest common divisor of 822, 532, 466, 704 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 822, 532, 466, 704 i.e 2.
3. How can I use the GCD of 822, 532, 466, 704Calculator?
Out the numbers 822, 532, 466, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.