Online GCD Calculator is useful to find the GCD of 280, 332, 162, 996 quickly. Get the easiest ways to solve the greatest common divisor of 280, 332, 162, 996 i.e 2 in different methods as follows.
Given Input numbers are 280, 332, 162, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (280, 332, 162, 996) = 2.
Given numbers are 280, 332, 162, 996
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 332 are 2 x 2 x 83
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 280, 332, 162, 996 is 2.
Given numbers are 280, 332, 162, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 332) = 23240
GCD(280, 332) = ( 280 x 332 ) / 23240
= 280 / 332
= 280
Step2:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
Step3:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
So, Greatest Common Divisor of 280, 332, 162, 996 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 332, 162, 996
The greatest common divisor of numbers 280, 332, 162, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 332, 162, 996 is 2.
1. What is the GCD of 280, 332, 162, 996?
GCD of given numbers 280, 332, 162, 996 is 2
2. How to calculate the greatest common divisor of 280, 332, 162, 996?
We can find the highest common divisor of 280, 332, 162, 996 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 280, 332, 162, 996 i.e 2.
3. How can I use the GCD of 280, 332, 162, 996Calculator?
Out the numbers 280, 332, 162, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.