Online GCD Calculator is useful to find the GCD of 384, 396, 140, 402 quickly. Get the easiest ways to solve the greatest common divisor of 384, 396, 140, 402 i.e 2 in different methods as follows.
Given Input numbers are 384, 396, 140, 402
In the factoring method, we have to find the divisors of all numbers
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
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 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (384, 396, 140, 402) = 2.
Given numbers are 384, 396, 140, 402
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 384, 396, 140, 402 is 2.
Given numbers are 384, 396, 140, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 396) = 12672
GCD(384, 396) = ( 384 x 396 ) / 12672
= 384 / 396
= 384
Step2:
LCM(12, 140) = 420
GCD(12, 140) = ( 12 x 140 ) / 420
= 12 / 140
= 12
Step3:
LCM(4, 402) = 804
GCD(4, 402) = ( 4 x 402 ) / 804
= 4 / 402
= 4
So, Greatest Common Divisor of 384, 396, 140, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 396, 140, 402
The greatest common divisor of numbers 384, 396, 140, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 396, 140, 402 is 2.
1. What is the GCD of 384, 396, 140, 402?
GCD of given numbers 384, 396, 140, 402 is 2
2. How to calculate the greatest common divisor of 384, 396, 140, 402?
We can find the highest common divisor of 384, 396, 140, 402 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 384, 396, 140, 402 i.e 2.
3. How can I use the GCD of 384, 396, 140, 402Calculator?
Out the numbers 384, 396, 140, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.