Online GCD Calculator is useful to find the GCD of 284, 330, 140, 168 quickly. Get the easiest ways to solve the greatest common divisor of 284, 330, 140, 168 i.e 2 in different methods as follows.
Given Input numbers are 284, 330, 140, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (284, 330, 140, 168) = 2.
Given numbers are 284, 330, 140, 168
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 284, 330, 140, 168 is 2.
Given numbers are 284, 330, 140, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 330) = 46860
GCD(284, 330) = ( 284 x 330 ) / 46860
= 284 / 330
= 284
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 284, 330, 140, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 330, 140, 168
The greatest common divisor of numbers 284, 330, 140, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 330, 140, 168 is 2.
1. What is the GCD of 284, 330, 140, 168?
GCD of given numbers 284, 330, 140, 168 is 2
2. How to calculate the greatest common divisor of 284, 330, 140, 168?
We can find the highest common divisor of 284, 330, 140, 168 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 284, 330, 140, 168 i.e 2.
3. How can I use the GCD of 284, 330, 140, 168Calculator?
Out the numbers 284, 330, 140, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.