Online GCD Calculator is useful to find the GCD of 402, 706, 350, 384 quickly. Get the easiest ways to solve the greatest common divisor of 402, 706, 350, 384 i.e 2 in different methods as follows.
Given Input numbers are 402, 706, 350, 384
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 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (402, 706, 350, 384) = 2.
Given numbers are 402, 706, 350, 384
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 706 are 2 x 353
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 402, 706, 350, 384 is 2.
Given numbers are 402, 706, 350, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 706) = 141906
GCD(402, 706) = ( 402 x 706 ) / 141906
= 402 / 706
= 402
Step2:
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
= 2 / 350
= 2
Step3:
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
= 2 / 384
= 2
So, Greatest Common Divisor of 402, 706, 350, 384 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 706, 350, 384
The greatest common divisor of numbers 402, 706, 350, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 706, 350, 384 is 2.
1. What is the GCD of 402, 706, 350, 384?
GCD of given numbers 402, 706, 350, 384 is 2
2. How to calculate the greatest common divisor of 402, 706, 350, 384?
We can find the highest common divisor of 402, 706, 350, 384 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, 706, 350, 384 i.e 2.
3. How can I use the GCD of 402, 706, 350, 384Calculator?
Out the numbers 402, 706, 350, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.