Online GCD Calculator is useful to find the GCD of 402, 396, 694, 446 quickly. Get the easiest ways to solve the greatest common divisor of 402, 396, 694, 446 i.e 2 in different methods as follows.
Given Input numbers are 402, 396, 694, 446
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
GCD of numbers is the greatest common divisor
So, the GCD (402, 396, 694, 446) = 2.
Given numbers are 402, 396, 694, 446
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 694 are 2 x 347
Prime factors of 446 are 2 x 223
The highest common occurrence is 21
Therefore, GCD of 402, 396, 694, 446 is 2.
Given numbers are 402, 396, 694, 446
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 396) = 26532
GCD(402, 396) = ( 402 x 396 ) / 26532
= 402 / 396
= 402
Step2:
LCM(6, 694) = 2082
GCD(6, 694) = ( 6 x 694 ) / 2082
= 6 / 694
= 6
Step3:
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
= 2 / 446
= 2
So, Greatest Common Divisor of 402, 396, 694, 446 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 396, 694, 446
The greatest common divisor of numbers 402, 396, 694, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 396, 694, 446 is 2.
1. What is the GCD of 402, 396, 694, 446?
GCD of given numbers 402, 396, 694, 446 is 2
2. How to calculate the greatest common divisor of 402, 396, 694, 446?
We can find the highest common divisor of 402, 396, 694, 446 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 402, 396, 694, 446 i.e 2.
3. How can I use the GCD of 402, 396, 694, 446Calculator?
Out the numbers 402, 396, 694, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.